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Finding the Third Proportional to 96,549.75 and 224,245.13

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Solution

The third proportional to 96,549.75 and 224,245.13 is: 520,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,549.75 : 224,245.13 = 224,245.13 : x
  2. Step 2: Convert to fraction form
    96,549.75/224,245.13 = 224,245.13/x
  3. Step 3: Cross multiply
    96,549.75x = 224,245.13 × 224,245.13
  4. Step 4: Simplify right side
    96,549.75x = 50,285,876,086.27
  5. Step 5: Solve for x
    x = 50,285,876,086.27/96,549.75
  6. Step 6: Final answer
    x = 520,828.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.