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Finding the Third Proportional to 104,911.88 and 226,405.13

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Solution

The third proportional to 104,911.88 and 226,405.13 is: 488,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,911.88 : 226,405.13 = 226,405.13 : x
  2. Step 2: Convert to fraction form
    104,911.88/226,405.13 = 226,405.13/x
  3. Step 3: Cross multiply
    104,911.88x = 226,405.13 × 226,405.13
  4. Step 4: Simplify right side
    104,911.88x = 51,259,280,626.27
  5. Step 5: Solve for x
    x = 51,259,280,626.27/104,911.88
  6. Step 6: Final answer
    x = 488,593.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.