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Finding the Third Proportional to 87,977.25 and 193,449.38

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Solution

The third proportional to 87,977.25 and 193,449.38 is: 425,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,977.25 : 193,449.38 = 193,449.38 : x
  2. Step 2: Convert to fraction form
    87,977.25/193,449.38 = 193,449.38/x
  3. Step 3: Cross multiply
    87,977.25x = 193,449.38 × 193,449.38
  4. Step 4: Simplify right side
    87,977.25x = 37,422,660,687.89
  5. Step 5: Solve for x
    x = 37,422,660,687.89/87,977.25
  6. Step 6: Final answer
    x = 425,367.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.