Just do it in 5 seconds!

\[\large \begin{align} \color{blue} 9797 \color{black} ÷ \color{red} 97 \color{black} & = \color{green} 101 \\ \large \color{blue} 9898 \color{black} ÷ \color{red} 98 \color{black} & = \color{green} 101 \\ \large \color{blue} 9999 \color{black} ÷ \color{red} 99 \color{black} & = \color{green} 101 \\ \\ \color{blue} 100100 \color{black} ÷ \color{red} 100 \color{black} & = \color{purple} \boxed{x} \end{align} \]

What is the value of \(\color{purple} x\)?


BONUS: Explain why this happens.

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