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Finding the Third Proportional to 96,591 and 203,670

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Solution

The third proportional to 96,591 and 203,670 is: 429,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,591 : 203,670 = 203,670 : x
  2. Step 2: Convert to fraction form
    96,591/203,670 = 203,670/x
  3. Step 3: Cross multiply
    96,591x = 203,670 × 203,670
  4. Step 4: Simplify right side
    96,591x = 41,481,468,900
  5. Step 5: Solve for x
    x = 41,481,468,900/96,591
  6. Step 6: Final answer
    x = 429,454.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.