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Finding the Third Proportional to 104,722.88 and 226,049.25

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Solution

The third proportional to 104,722.88 and 226,049.25 is: 487,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,722.88 : 226,049.25 = 226,049.25 : x
  2. Step 2: Convert to fraction form
    104,722.88/226,049.25 = 226,049.25/x
  3. Step 3: Cross multiply
    104,722.88x = 226,049.25 × 226,049.25
  4. Step 4: Simplify right side
    104,722.88x = 51,098,263,425.56
  5. Step 5: Solve for x
    x = 51,098,263,425.56/104,722.88
  6. Step 6: Final answer
    x = 487,937.94

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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.