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Finding the Third Proportional to 65,819,331 and 141,753,294

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Solution

The third proportional to 65,819,331 and 141,753,294 is: 305,290,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819,331 : 141,753,294 = 141,753,294 : x
  2. Step 2: Convert to fraction form
    65,819,331/141,753,294 = 141,753,294/x
  3. Step 3: Cross multiply
    65,819,331x = 141,753,294 × 141,753,294
  4. Step 4: Simplify right side
    65,819,331x = 20,093,996,359,850,436
  5. Step 5: Solve for x
    x = 20,093,996,359,850,436/65,819,331
  6. Step 6: Final answer
    x = 305,290,194.45

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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.