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Finding the Third Proportional to 83,471.63 and 129,330.75

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Solution

The third proportional to 83,471.63 and 129,330.75 is: 200,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,471.63 : 129,330.75 = 129,330.75 : x
  2. Step 2: Convert to fraction form
    83,471.63/129,330.75 = 129,330.75/x
  3. Step 3: Cross multiply
    83,471.63x = 129,330.75 × 129,330.75
  4. Step 4: Simplify right side
    83,471.63x = 16,726,442,895.56
  5. Step 5: Solve for x
    x = 16,726,442,895.56/83,471.63
  6. Step 6: Final answer
    x = 200,384.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.