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Finding the Third Proportional to 38,167.88 and 88,433.44

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Solution

The third proportional to 38,167.88 and 88,433.44 is: 204,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,167.88 : 88,433.44 = 88,433.44 : x
  2. Step 2: Convert to fraction form
    38,167.88/88,433.44 = 88,433.44/x
  3. Step 3: Cross multiply
    38,167.88x = 88,433.44 × 88,433.44
  4. Step 4: Simplify right side
    38,167.88x = 7,820,472,868.07
  5. Step 5: Solve for x
    x = 7,820,472,868.07/38,167.88
  6. Step 6: Final answer
    x = 204,896.73

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Why These Related Problems?

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