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Finding the Third Proportional to 95,974.88 and 224,209.69

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Solution

The third proportional to 95,974.88 and 224,209.69 is: 523,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,974.88 : 224,209.69 = 224,209.69 : x
  2. Step 2: Convert to fraction form
    95,974.88/224,209.69 = 224,209.69/x
  3. Step 3: Cross multiply
    95,974.88x = 224,209.69 × 224,209.69
  4. Step 4: Simplify right side
    95,974.88x = 50,269,983,968.85
  5. Step 5: Solve for x
    x = 50,269,983,968.85/95,974.88
  6. Step 6: Final answer
    x = 523,782.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.