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Finding the Third Proportional to 80,937.56 and 189,043.88

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Solution

The third proportional to 80,937.56 and 189,043.88 is: 441,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,937.56 : 189,043.88 = 189,043.88 : x
  2. Step 2: Convert to fraction form
    80,937.56/189,043.88 = 189,043.88/x
  3. Step 3: Cross multiply
    80,937.56x = 189,043.88 × 189,043.88
  4. Step 4: Simplify right side
    80,937.56x = 35,737,586,675.02
  5. Step 5: Solve for x
    x = 35,737,586,675.02/80,937.56
  6. Step 6: Final answer
    x = 441,545.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.