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Finding the Third Proportional to 100,695,781.50 and 216,885,773.50

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Solution

The third proportional to 100,695,781.50 and 216,885,773.50 is: 467,144,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,781.50 : 216,885,773.50 = 216,885,773.50 : x
  2. Step 2: Convert to fraction form
    100,695,781.50/216,885,773.50 = 216,885,773.50/x
  3. Step 3: Cross multiply
    100,695,781.50x = 216,885,773.50 × 216,885,773.50
  4. Step 4: Simplify right side
    100,695,781.50x = 47,039,438,746,693,304
  5. Step 5: Solve for x
    x = 47,039,438,746,693,304/100,695,781.50
  6. Step 6: Final answer
    x = 467,144,085.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.