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Finding the Third Proportional to 138,596.13 and 193,099.31

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Solution

The third proportional to 138,596.13 and 193,099.31 is: 269,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,596.13 : 193,099.31 = 193,099.31 : x
  2. Step 2: Convert to fraction form
    138,596.13/193,099.31 = 193,099.31/x
  3. Step 3: Cross multiply
    138,596.13x = 193,099.31 × 193,099.31
  4. Step 4: Simplify right side
    138,596.13x = 37,287,344,487.97
  5. Step 5: Solve for x
    x = 37,287,344,487.97/138,596.13
  6. Step 6: Final answer
    x = 269,035.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.