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Finding the Third Proportional to 96,591.50 and 203,671

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Solution

The third proportional to 96,591.50 and 203,671 is: 429,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,591.50 : 203,671 = 203,671 : x
  2. Step 2: Convert to fraction form
    96,591.50/203,671 = 203,671/x
  3. Step 3: Cross multiply
    96,591.50x = 203,671 × 203,671
  4. Step 4: Simplify right side
    96,591.50x = 41,481,876,241
  5. Step 5: Solve for x
    x = 41,481,876,241/96,591.50
  6. Step 6: Final answer
    x = 429,456.80

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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.