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Finding the Third Proportional to 97,367.06 and 231,115.78

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Solution

The third proportional to 97,367.06 and 231,115.78 is: 548,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367.06 : 231,115.78 = 231,115.78 : x
  2. Step 2: Convert to fraction form
    97,367.06/231,115.78 = 231,115.78/x
  3. Step 3: Cross multiply
    97,367.06x = 231,115.78 × 231,115.78
  4. Step 4: Simplify right side
    97,367.06x = 53,414,504,342.80
  5. Step 5: Solve for x
    x = 53,414,504,342.80/97,367.06
  6. Step 6: Final answer
    x = 548,589.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.