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Finding the Third Proportional to 40,278.75 and 88,304.25

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Solution

The third proportional to 40,278.75 and 88,304.25 is: 193,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,278.75 : 88,304.25 = 88,304.25 : x
  2. Step 2: Convert to fraction form
    40,278.75/88,304.25 = 88,304.25/x
  3. Step 3: Cross multiply
    40,278.75x = 88,304.25 × 88,304.25
  4. Step 4: Simplify right side
    40,278.75x = 7,797,640,568.06
  5. Step 5: Solve for x
    x = 7,797,640,568.06/40,278.75
  6. Step 6: Final answer
    x = 193,591.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.