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Finding the Third Proportional to 103,906.13 and 224,391.38

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Solution

The third proportional to 103,906.13 and 224,391.38 is: 484,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,906.13 : 224,391.38 = 224,391.38 : x
  2. Step 2: Convert to fraction form
    103,906.13/224,391.38 = 224,391.38/x
  3. Step 3: Cross multiply
    103,906.13x = 224,391.38 × 224,391.38
  4. Step 4: Simplify right side
    103,906.13x = 50,351,489,174.39
  5. Step 5: Solve for x
    x = 50,351,489,174.39/103,906.13
  6. Step 6: Final answer
    x = 484,586.34

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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.