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Finding the Third Proportional to 100,186.88 and 159,757.31

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Solution

The third proportional to 100,186.88 and 159,757.31 is: 254,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186.88 : 159,757.31 = 159,757.31 : x
  2. Step 2: Convert to fraction form
    100,186.88/159,757.31 = 159,757.31/x
  3. Step 3: Cross multiply
    100,186.88x = 159,757.31 × 159,757.31
  4. Step 4: Simplify right side
    100,186.88x = 25,522,398,897.22
  5. Step 5: Solve for x
    x = 25,522,398,897.22/100,186.88
  6. Step 6: Final answer
    x = 254,747.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.