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Finding the Third Proportional to 103,993.88 and 224,592.75

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Solution

The third proportional to 103,993.88 and 224,592.75 is: 485,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,993.88 : 224,592.75 = 224,592.75 : x
  2. Step 2: Convert to fraction form
    103,993.88/224,592.75 = 224,592.75/x
  3. Step 3: Cross multiply
    103,993.88x = 224,592.75 × 224,592.75
  4. Step 4: Simplify right side
    103,993.88x = 50,441,903,352.56
  5. Step 5: Solve for x
    x = 50,441,903,352.56/103,993.88
  6. Step 6: Final answer
    x = 485,046.87

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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.