To solve for the blank in the equation \( 81 = __ = 12^2 \), let's analyze the equations:
- First, notice that \( 12^2 = 144 \). Therefore, the equality \( 81 = __ = 12^2 \) does not hold as stated; however, if you meant a separate expression where \( 81 = 9^2 \), then that is correct.
Now, to address the inequalities \( 99 < __ < 10^2 \):
- Since \( 10^2 = 100 \), we are looking for a value between \( 99 \) and \( 100 \).
In this context, if \( __ \) must equal \( 81 \), then it cannot satisfy the condition because \( 81 \) is not between \( 99 \) and \( 100 \).
However, if you are looking for a number \( __ \) satisfying the inequalities \( 99 < __ < 100 \), possible candidates could be any decimal value such as \( 99.5 \), \( 99.9 \), etc.
Please clarify the intended question if this doesn't meet your requirements!