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Finding the Third Proportional to 87,818.06 and 189,460.13

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Solution

The third proportional to 87,818.06 and 189,460.13 is: 408,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,818.06 : 189,460.13 = 189,460.13 : x
  2. Step 2: Convert to fraction form
    87,818.06/189,460.13 = 189,460.13/x
  3. Step 3: Cross multiply
    87,818.06x = 189,460.13 × 189,460.13
  4. Step 4: Simplify right side
    87,818.06x = 35,895,138,965.02
  5. Step 5: Solve for x
    x = 35,895,138,965.02/87,818.06
  6. Step 6: Final answer
    x = 408,744.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.