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Finding the Third Proportional to 103,738.25 and 227,564.75

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Solution

The third proportional to 103,738.25 and 227,564.75 is: 499,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738.25 : 227,564.75 = 227,564.75 : x
  2. Step 2: Convert to fraction form
    103,738.25/227,564.75 = 227,564.75/x
  3. Step 3: Cross multiply
    103,738.25x = 227,564.75 × 227,564.75
  4. Step 4: Simplify right side
    103,738.25x = 51,785,715,442.56
  5. Step 5: Solve for x
    x = 51,785,715,442.56/103,738.25
  6. Step 6: Final answer
    x = 499,195.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.