Does the same thing happen if both balloons have already been blown up to capacity? (Not that I'm sure what happens, but clearly it's something other than "they end up the same size," so I'm jumping ahead to reasons.)
Presumably, the air pressure is already equal in both balloons at the start, the extra air having gone to expand the balloon volumes. However, there is the tension? on the balloon material, which is greater on the 2/3 filled capacity balloon than the 1/3 filled capacity balloon. This tension would have to get equalized, I think. But really, I'm not sure.
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not that i can offer any of those technically..
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