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Finding the Third Proportional to 100,856 and 217,272

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Solution

The third proportional to 100,856 and 217,272 is: 468,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856 : 217,272 = 217,272 : x
  2. Step 2: Convert to fraction form
    100,856/217,272 = 217,272/x
  3. Step 3: Cross multiply
    100,856x = 217,272 × 217,272
  4. Step 4: Simplify right side
    100,856x = 47,207,121,984
  5. Step 5: Solve for x
    x = 47,207,121,984/100,856
  6. Step 6: Final answer
    x = 468,064.59

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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.