video How to Reinflate a Balloon
A partially filled balloon is placed into a vacuum chamber. When the vacuum is turned on the pressure exerted on the balloon decreases and the balloon can expand until the bell jar is completely filled. When the air is allowed back in the jar, the pressure is reestablished and the balloon returns to its original volume. This is a great example of Boyle's Law which shows an indirect relationship between pressure and volume.
air has nothing to do with whether the balloon pops(except for having too much of course)
but if the balloon gets bigger it physically as to pop because it will be overly stretched and tear