Divide the natural numbers 1, 2, 3, ... 99 into three groups. If the average numbers of each group are exactly equal, what is the product of these three average numbers?
把自然数1，2，3，…99分成三组，如果每一组的平均数恰好都相等，那么这三个平均数的乘积是多少．
<gadget id="calculator">99 / 2</gadget>
<output>99/2 = around 49.5</output>

<gadget id="calculator">99 * (99/2)</gadget>
<output>9_801/2 = around 4_900.5</output>

<gadget id="calculator">(99/2) + (9_801/2)</gadget>
<output>4_950</output>

<gadget id="calculator">4_950 / 99</gadget>
<output>50</output>

<gadget id="calculator">50 ** 3</gadget>
<output>125_000</output>

<result>125_000</result>