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Finding the Third Proportional to 91,782 and 203,217

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Solution

The third proportional to 91,782 and 203,217 is: 449,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782 : 203,217 = 203,217 : x
  2. Step 2: Convert to fraction form
    91,782/203,217 = 203,217/x
  3. Step 3: Cross multiply
    91,782x = 203,217 × 203,217
  4. Step 4: Simplify right side
    91,782x = 41,297,149,089
  5. Step 5: Solve for x
    x = 41,297,149,089/91,782
  6. Step 6: Final answer
    x = 449,948.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.