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Finding the Third Proportional to 71,017,023 and 152,820,327

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Solution

The third proportional to 71,017,023 and 152,820,327 is: 328,851,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017,023 : 152,820,327 = 152,820,327 : x
  2. Step 2: Convert to fraction form
    71,017,023/152,820,327 = 152,820,327/x
  3. Step 3: Cross multiply
    71,017,023x = 152,820,327 × 152,820,327
  4. Step 4: Simplify right side
    71,017,023x = 23,354,052,344,386,928
  5. Step 5: Solve for x
    x = 23,354,052,344,386,928/71,017,023
  6. Step 6: Final answer
    x = 328,851,469.10

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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.