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Finding the Third Proportional to 107,285,736 and 231,722,742

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Solution

The third proportional to 107,285,736 and 231,722,742 is: 500,489,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,736 : 231,722,742 = 231,722,742 : x
  2. Step 2: Convert to fraction form
    107,285,736/231,722,742 = 231,722,742/x
  3. Step 3: Cross multiply
    107,285,736x = 231,722,742 × 231,722,742
  4. Step 4: Simplify right side
    107,285,736x = 53,695,429,159,998,560
  5. Step 5: Solve for x
    x = 53,695,429,159,998,560/107,285,736
  6. Step 6: Final answer
    x = 500,489,917.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.