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Finding the Third Proportional to 87,309.56 and 191,764.13

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Solution

The third proportional to 87,309.56 and 191,764.13 is: 421,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,309.56 : 191,764.13 = 191,764.13 : x
  2. Step 2: Convert to fraction form
    87,309.56/191,764.13 = 191,764.13/x
  3. Step 3: Cross multiply
    87,309.56x = 191,764.13 × 191,764.13
  4. Step 4: Simplify right side
    87,309.56x = 36,773,479,637.02
  5. Step 5: Solve for x
    x = 36,773,479,637.02/87,309.56
  6. Step 6: Final answer
    x = 421,185.02

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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.