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Finding the Third Proportional to 101,590 and 222,866

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Solution

The third proportional to 101,590 and 222,866 is: 488,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590 : 222,866 = 222,866 : x
  2. Step 2: Convert to fraction form
    101,590/222,866 = 222,866/x
  3. Step 3: Cross multiply
    101,590x = 222,866 × 222,866
  4. Step 4: Simplify right side
    101,590x = 49,669,253,956
  5. Step 5: Solve for x
    x = 49,669,253,956/101,590
  6. Step 6: Final answer
    x = 488,918.73

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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.