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Finding the Third Proportional to 104,068 and 223,931

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Solution

The third proportional to 104,068 and 223,931 is: 481,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,068 : 223,931 = 223,931 : x
  2. Step 2: Convert to fraction form
    104,068/223,931 = 223,931/x
  3. Step 3: Cross multiply
    104,068x = 223,931 × 223,931
  4. Step 4: Simplify right side
    104,068x = 50,145,092,761
  5. Step 5: Solve for x
    x = 50,145,092,761/104,068
  6. Step 6: Final answer
    x = 481,849.30

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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.