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Finding the Third Proportional to 41,948,691.75 and 98,884,712.25

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Solution

The third proportional to 41,948,691.75 and 98,884,712.25 is: 233,098,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,948,691.75 : 98,884,712.25 = 98,884,712.25 : x
  2. Step 2: Convert to fraction form
    41,948,691.75/98,884,712.25 = 98,884,712.25/x
  3. Step 3: Cross multiply
    41,948,691.75x = 98,884,712.25 × 98,884,712.25
  4. Step 4: Simplify right side
    41,948,691.75x = 9,778,186,316,765,300
  5. Step 5: Solve for x
    x = 9,778,186,316,765,300/41,948,691.75
  6. Step 6: Final answer
    x = 233,098,719.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.