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Finding the Third Proportional to 104,192 and 223,916

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Solution

The third proportional to 104,192 and 223,916 is: 481,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,192 : 223,916 = 223,916 : x
  2. Step 2: Convert to fraction form
    104,192/223,916 = 223,916/x
  3. Step 3: Cross multiply
    104,192x = 223,916 × 223,916
  4. Step 4: Simplify right side
    104,192x = 50,138,375,056
  5. Step 5: Solve for x
    x = 50,138,375,056/104,192
  6. Step 6: Final answer
    x = 481,211.37

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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.