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Finding the Third Proportional to 95,995.13 and 224,268.75

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Solution

The third proportional to 95,995.13 and 224,268.75 is: 523,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,995.13 : 224,268.75 = 224,268.75 : x
  2. Step 2: Convert to fraction form
    95,995.13/224,268.75 = 224,268.75/x
  3. Step 3: Cross multiply
    95,995.13x = 224,268.75 × 224,268.75
  4. Step 4: Simplify right side
    95,995.13x = 50,296,472,226.56
  5. Step 5: Solve for x
    x = 50,296,472,226.56/95,995.13
  6. Step 6: Final answer
    x = 523,948.19

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Why These Related Problems?

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