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Finding the Third Proportional to 71,645,998 and 155,456,089

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Solution

The third proportional to 71,645,998 and 155,456,089 is: 337,305,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,998 : 155,456,089 = 155,456,089 : x
  2. Step 2: Convert to fraction form
    71,645,998/155,456,089 = 155,456,089/x
  3. Step 3: Cross multiply
    71,645,998x = 155,456,089 × 155,456,089
  4. Step 4: Simplify right side
    71,645,998x = 24,166,595,607,175,920
  5. Step 5: Solve for x
    x = 24,166,595,607,175,920/71,645,998
  6. Step 6: Final answer
    x = 337,305,589.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.