I'd think that any presumed similarity in dimensions of pyramids across cultures is pretty coincidental, given the great variance in mathematical concepts and units of measure. I'm hypothesizing that what we see in monument sizes can be summed up as 'nice even numbered measurements, in the numbering system and measure of the culture', within a slight variance justified by weathering, sloppy measuring in construction, sloppy measuring by archeologists, and reconstruction or modification over the years. I'm going to make a bet with myself that the measures will fall within a unit of a nice whole number, as expressed in that cultures numbering.
A bit of google-fu turned up a claim that the Maya used a measure of approximately 91 centimeters as the basis for thier
system of measure. The article claims that this, along with an approximate half-measure shows up as a frequent multiple in their archetecture. This is complicated as well by sloppy measurements and unit changes over the years. Certainly, up until very recently, archeological measurements weren't done to great precision, a fact that the linked source bemoans. Some more google-fu shows that the base of the great pyramid at chichen itza is 55.3 meters or so, or 60 and 3/4 base measurements. I'm not surprised to find that it was 60 measures by 60 measures or so, since the Maya had a base 20 numbering system. This would be written using their characters for 3 and 0, plus however they denoted fractions. Again, this measurement could vary a bit. 30 is a nice whole number.
The egyptians used base ten numbering, and apparently used the
royal cubit as a construction measure. Google gives the size of the base of the great pyramid as 230.5 meters, and the royal cubit as 52.5 centimeters. This gives a length in cubits of 439.0 in familiar sounding decimal notation. Bearing in mind that the pyramid has suffered some stone stripping over the years, it would have been a bit larger. I'm going to go out on a bit of a limb and say 440 cubits.
I'm going to tenatively call this hypothesis confirmed.
I further note, just as an idle observation, that I'm in a room that's 12 by 20, in feet. I can tell by the tiles. Standardization of building materials tends to do this to a culture...
Oh, just as a 'by the way' 230.5 meters square is only 'similar' to 55.3 meters square if you squint REALLY REALLY hard...
A