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Finding the Third Proportional to 147,431,352.38 and 319,923,169.88

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Solution

The third proportional to 147,431,352.38 and 319,923,169.88 is: 694,227,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,431,352.38 : 319,923,169.88 = 319,923,169.88 : x
  2. Step 2: Convert to fraction form
    147,431,352.38/319,923,169.88 = 319,923,169.88/x
  3. Step 3: Cross multiply
    147,431,352.38x = 319,923,169.88 × 319,923,169.88
  4. Step 4: Simplify right side
    147,431,352.38x = 102,350,834,622,868,112
  5. Step 5: Solve for x
    x = 102,350,834,622,868,112/147,431,352.38
  6. Step 6: Final answer
    x = 694,227,062.11

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