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Finding the Third Proportional to 96,589 and 203,666

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Solution

The third proportional to 96,589 and 203,666 is: 429,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,589 : 203,666 = 203,666 : x
  2. Step 2: Convert to fraction form
    96,589/203,666 = 203,666/x
  3. Step 3: Cross multiply
    96,589x = 203,666 × 203,666
  4. Step 4: Simplify right side
    96,589x = 41,479,839,556
  5. Step 5: Solve for x
    x = 41,479,839,556/96,589
  6. Step 6: Final answer
    x = 429,446.83

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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.