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Finding the Third Proportional to 87,191,904 and 186,902,448

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Solution

The third proportional to 87,191,904 and 186,902,448 is: 400,639,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,191,904 : 186,902,448 = 186,902,448 : x
  2. Step 2: Convert to fraction form
    87,191,904/186,902,448 = 186,902,448/x
  3. Step 3: Cross multiply
    87,191,904x = 186,902,448 × 186,902,448
  4. Step 4: Simplify right side
    87,191,904x = 34,932,525,068,392,704
  5. Step 5: Solve for x
    x = 34,932,525,068,392,704/87,191,904
  6. Step 6: Final answer
    x = 400,639,548.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.