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Finding the Third Proportional to 103,949 and 222,115

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Solution

The third proportional to 103,949 and 222,115 is: 474,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,949 : 222,115 = 222,115 : x
  2. Step 2: Convert to fraction form
    103,949/222,115 = 222,115/x
  3. Step 3: Cross multiply
    103,949x = 222,115 × 222,115
  4. Step 4: Simplify right side
    103,949x = 49,335,073,225
  5. Step 5: Solve for x
    x = 49,335,073,225/103,949
  6. Step 6: Final answer
    x = 474,608.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.