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Finding the Third Proportional to 87,660 and 189,339.75

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Solution

The third proportional to 87,660 and 189,339.75 is: 408,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,660 : 189,339.75 = 189,339.75 : x
  2. Step 2: Convert to fraction form
    87,660/189,339.75 = 189,339.75/x
  3. Step 3: Cross multiply
    87,660x = 189,339.75 × 189,339.75
  4. Step 4: Simplify right side
    87,660x = 35,849,540,930.06
  5. Step 5: Solve for x
    x = 35,849,540,930.06/87,660
  6. Step 6: Final answer
    x = 408,961.22

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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.