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Finding the Third Proportional to 83,031.38 and 128,229.75

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Solution

The third proportional to 83,031.38 and 128,229.75 is: 198,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.38 : 128,229.75 = 128,229.75 : x
  2. Step 2: Convert to fraction form
    83,031.38/128,229.75 = 128,229.75/x
  3. Step 3: Cross multiply
    83,031.38x = 128,229.75 × 128,229.75
  4. Step 4: Simplify right side
    83,031.38x = 16,442,868,785.06
  5. Step 5: Solve for x
    x = 16,442,868,785.06/83,031.38
  6. Step 6: Final answer
    x = 198,031.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.