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Finding the Third Proportional to 138,616.31 and 198,082.97

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Solution

The third proportional to 138,616.31 and 198,082.97 is: 283,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,616.31 : 198,082.97 = 198,082.97 : x
  2. Step 2: Convert to fraction form
    138,616.31/198,082.97 = 198,082.97/x
  3. Step 3: Cross multiply
    138,616.31x = 198,082.97 × 198,082.97
  4. Step 4: Simplify right side
    138,616.31x = 39,236,862,508.81
  5. Step 5: Solve for x
    x = 39,236,862,508.81/138,616.31
  6. Step 6: Final answer
    x = 283,060.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.