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Finding the Third Proportional to 67,384,839.50 and 103,511,356.50

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Solution

The third proportional to 67,384,839.50 and 103,511,356.50 is: 159,006,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,384,839.50 : 103,511,356.50 = 103,511,356.50 : x
  2. Step 2: Convert to fraction form
    67,384,839.50/103,511,356.50 = 103,511,356.50/x
  3. Step 3: Cross multiply
    67,384,839.50x = 103,511,356.50 × 103,511,356.50
  4. Step 4: Simplify right side
    67,384,839.50x = 10,714,600,924,470,092
  5. Step 5: Solve for x
    x = 10,714,600,924,470,092/67,384,839.50
  6. Step 6: Final answer
    x = 159,006,105.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.