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Finding the Third Proportional to 132,499.13 and 196,948.69

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Solution

The third proportional to 132,499.13 and 196,948.69 is: 292,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,499.13 : 196,948.69 = 196,948.69 : x
  2. Step 2: Convert to fraction form
    132,499.13/196,948.69 = 196,948.69/x
  3. Step 3: Cross multiply
    132,499.13x = 196,948.69 × 196,948.69
  4. Step 4: Simplify right side
    132,499.13x = 38,788,785,507.97
  5. Step 5: Solve for x
    x = 38,788,785,507.97/132,499.13
  6. Step 6: Final answer
    x = 292,747.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.