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Finding the Third Proportional to 89,930.25 and 182,958.75

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Solution

The third proportional to 89,930.25 and 182,958.75 is: 372,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930.25 : 182,958.75 = 182,958.75 : x
  2. Step 2: Convert to fraction form
    89,930.25/182,958.75 = 182,958.75/x
  3. Step 3: Cross multiply
    89,930.25x = 182,958.75 × 182,958.75
  4. Step 4: Simplify right side
    89,930.25x = 33,473,904,201.56
  5. Step 5: Solve for x
    x = 33,473,904,201.56/89,930.25
  6. Step 6: Final answer
    x = 372,220.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.