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Finding the Third Proportional to 40,675.88 and 88,194.75

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Solution

The third proportional to 40,675.88 and 88,194.75 is: 191,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,675.88 : 88,194.75 = 88,194.75 : x
  2. Step 2: Convert to fraction form
    40,675.88/88,194.75 = 88,194.75/x
  3. Step 3: Cross multiply
    40,675.88x = 88,194.75 × 88,194.75
  4. Step 4: Simplify right side
    40,675.88x = 7,778,313,927.56
  5. Step 5: Solve for x
    x = 7,778,313,927.56/40,675.88
  6. Step 6: Final answer
    x = 191,226.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.