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Finding the Third Proportional to 87,966 and 189,610.88

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Solution

The third proportional to 87,966 and 189,610.88 is: 408,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,966 : 189,610.88 = 189,610.88 : x
  2. Step 2: Convert to fraction form
    87,966/189,610.88 = 189,610.88/x
  3. Step 3: Cross multiply
    87,966x = 189,610.88 × 189,610.88
  4. Step 4: Simplify right side
    87,966x = 35,952,283,918.27
  5. Step 5: Solve for x
    x = 35,952,283,918.27/87,966
  6. Step 6: Final answer
    x = 408,706.59

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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.