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Finding the Third Proportional to 106,996.50 and 230,922

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Solution

The third proportional to 106,996.50 and 230,922 is: 498,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996.50 : 230,922 = 230,922 : x
  2. Step 2: Convert to fraction form
    106,996.50/230,922 = 230,922/x
  3. Step 3: Cross multiply
    106,996.50x = 230,922 × 230,922
  4. Step 4: Simplify right side
    106,996.50x = 53,324,970,084
  5. Step 5: Solve for x
    x = 53,324,970,084/106,996.50
  6. Step 6: Final answer
    x = 498,380.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.