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Finding the Third Proportional to 83,447,538 and 169,253,339

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Solution

The third proportional to 83,447,538 and 169,253,339 is: 343,289,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447,538 : 169,253,339 = 169,253,339 : x
  2. Step 2: Convert to fraction form
    83,447,538/169,253,339 = 169,253,339/x
  3. Step 3: Cross multiply
    83,447,538x = 169,253,339 × 169,253,339
  4. Step 4: Simplify right side
    83,447,538x = 28,646,692,762,648,920
  5. Step 5: Solve for x
    x = 28,646,692,762,648,920/83,447,538
  6. Step 6: Final answer
    x = 343,289,849.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.