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Finding the Third Proportional to 109,604.75 and 227,821.75

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Solution

The third proportional to 109,604.75 and 227,821.75 is: 473,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,604.75 : 227,821.75 = 227,821.75 : x
  2. Step 2: Convert to fraction form
    109,604.75/227,821.75 = 227,821.75/x
  3. Step 3: Cross multiply
    109,604.75x = 227,821.75 × 227,821.75
  4. Step 4: Simplify right side
    109,604.75x = 51,902,749,773.06
  5. Step 5: Solve for x
    x = 51,902,749,773.06/109,604.75
  6. Step 6: Final answer
    x = 473,544.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.