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Finding the Third Proportional to 101,644 and 222,917

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Solution

The third proportional to 101,644 and 222,917 is: 488,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,644 : 222,917 = 222,917 : x
  2. Step 2: Convert to fraction form
    101,644/222,917 = 222,917/x
  3. Step 3: Cross multiply
    101,644x = 222,917 × 222,917
  4. Step 4: Simplify right side
    101,644x = 49,691,988,889
  5. Step 5: Solve for x
    x = 49,691,988,889/101,644
  6. Step 6: Final answer
    x = 488,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.