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Finding the Third Proportional to 107,792,866 and 165,687,135

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Solution

The third proportional to 107,792,866 and 165,687,135 is: 254,675,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792,866 : 165,687,135 = 165,687,135 : x
  2. Step 2: Convert to fraction form
    107,792,866/165,687,135 = 165,687,135/x
  3. Step 3: Cross multiply
    107,792,866x = 165,687,135 × 165,687,135
  4. Step 4: Simplify right side
    107,792,866x = 27,452,226,704,508,224
  5. Step 5: Solve for x
    x = 27,452,226,704,508,224/107,792,866
  6. Step 6: Final answer
    x = 254,675,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.