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Finding the Third Proportional to 107,302.22 and 231,211.97

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Solution

The third proportional to 107,302.22 and 231,211.97 is: 498,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302.22 : 231,211.97 = 231,211.97 : x
  2. Step 2: Convert to fraction form
    107,302.22/231,211.97 = 231,211.97/x
  3. Step 3: Cross multiply
    107,302.22x = 231,211.97 × 231,211.97
  4. Step 4: Simplify right side
    107,302.22x = 53,458,974,493.25
  5. Step 5: Solve for x
    x = 53,458,974,493.25/107,302.22
  6. Step 6: Final answer
    x = 498,209.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.