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Finding the Third Proportional to 100,782 and 217,116

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Solution

The third proportional to 100,782 and 217,116 is: 467,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782 : 217,116 = 217,116 : x
  2. Step 2: Convert to fraction form
    100,782/217,116 = 217,116/x
  3. Step 3: Cross multiply
    100,782x = 217,116 × 217,116
  4. Step 4: Simplify right side
    100,782x = 47,139,357,456
  5. Step 5: Solve for x
    x = 47,139,357,456/100,782
  6. Step 6: Final answer
    x = 467,735.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.