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Finding the Third Proportional to 87,797.25 and 195,301.13

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Solution

The third proportional to 87,797.25 and 195,301.13 is: 434,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,797.25 : 195,301.13 = 195,301.13 : x
  2. Step 2: Convert to fraction form
    87,797.25/195,301.13 = 195,301.13/x
  3. Step 3: Cross multiply
    87,797.25x = 195,301.13 × 195,301.13
  4. Step 4: Simplify right side
    87,797.25x = 38,142,529,426.27
  5. Step 5: Solve for x
    x = 38,142,529,426.27/87,797.25
  6. Step 6: Final answer
    x = 434,438.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.