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Finding the Third Proportional to 89,773.31 and 191,544.75

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Solution

The third proportional to 89,773.31 and 191,544.75 is: 408,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,773.31 : 191,544.75 = 191,544.75 : x
  2. Step 2: Convert to fraction form
    89,773.31/191,544.75 = 191,544.75/x
  3. Step 3: Cross multiply
    89,773.31x = 191,544.75 × 191,544.75
  4. Step 4: Simplify right side
    89,773.31x = 36,689,391,252.56
  5. Step 5: Solve for x
    x = 36,689,391,252.56/89,773.31
  6. Step 6: Final answer
    x = 408,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.