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Finding the Third Proportional to 68,140,963.13 and 148,614,540.75

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Solution

The third proportional to 68,140,963.13 and 148,614,540.75 is: 324,126,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,140,963.13 : 148,614,540.75 = 148,614,540.75 : x
  2. Step 2: Convert to fraction form
    68,140,963.13/148,614,540.75 = 148,614,540.75/x
  3. Step 3: Cross multiply
    68,140,963.13x = 148,614,540.75 × 148,614,540.75
  4. Step 4: Simplify right side
    68,140,963.13x = 22,086,281,722,333,412
  5. Step 5: Solve for x
    x = 22,086,281,722,333,412/68,140,963.13
  6. Step 6: Final answer
    x = 324,126,350.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.