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Finding the Third Proportional to 107,285,725.13 and 231,722,719.88

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Solution

The third proportional to 107,285,725.13 and 231,722,719.88 is: 500,489,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,725.13 : 231,722,719.88 = 231,722,719.88 : x
  2. Step 2: Convert to fraction form
    107,285,725.13/231,722,719.88 = 231,722,719.88/x
  3. Step 3: Cross multiply
    107,285,725.13x = 231,722,719.88 × 231,722,719.88
  4. Step 4: Simplify right side
    107,285,725.13x = 53,695,418,906,267,720
  5. Step 5: Solve for x
    x = 53,695,418,906,267,720/107,285,725.13
  6. Step 6: Final answer
    x = 500,489,872.66

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