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Finding the Third Proportional to 95,202.50 and 206,791

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Solution

The third proportional to 95,202.50 and 206,791 is: 449,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202.50 : 206,791 = 206,791 : x
  2. Step 2: Convert to fraction form
    95,202.50/206,791 = 206,791/x
  3. Step 3: Cross multiply
    95,202.50x = 206,791 × 206,791
  4. Step 4: Simplify right side
    95,202.50x = 42,762,517,681
  5. Step 5: Solve for x
    x = 42,762,517,681/95,202.50
  6. Step 6: Final answer
    x = 449,174.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.