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Finding the Third Proportional to 81,906.89 and 175,198.92

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Solution

The third proportional to 81,906.89 and 175,198.92 is: 374,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.89 : 175,198.92 = 175,198.92 : x
  2. Step 2: Convert to fraction form
    81,906.89/175,198.92 = 175,198.92/x
  3. Step 3: Cross multiply
    81,906.89x = 175,198.92 × 175,198.92
  4. Step 4: Simplify right side
    81,906.89x = 30,694,662,226.16
  5. Step 5: Solve for x
    x = 30,694,662,226.16/81,906.89
  6. Step 6: Final answer
    x = 374,750.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.