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Finding the Third Proportional to 100,866 and 217,290

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Solution

The third proportional to 100,866 and 217,290 is: 468,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866 : 217,290 = 217,290 : x
  2. Step 2: Convert to fraction form
    100,866/217,290 = 217,290/x
  3. Step 3: Cross multiply
    100,866x = 217,290 × 217,290
  4. Step 4: Simplify right side
    100,866x = 47,214,944,100
  5. Step 5: Solve for x
    x = 47,214,944,100/100,866
  6. Step 6: Final answer
    x = 468,095.73

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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.