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Finding the Third Proportional to 96,597 and 203,682

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Solution

The third proportional to 96,597 and 203,682 is: 429,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,597 : 203,682 = 203,682 : x
  2. Step 2: Convert to fraction form
    96,597/203,682 = 203,682/x
  3. Step 3: Cross multiply
    96,597x = 203,682 × 203,682
  4. Step 4: Simplify right side
    96,597x = 41,486,357,124
  5. Step 5: Solve for x
    x = 41,486,357,124/96,597
  6. Step 6: Final answer
    x = 429,478.73

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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.