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Finding the Third Proportional to 106,599.38 and 231,990.75

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Solution

The third proportional to 106,599.38 and 231,990.75 is: 504,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599.38 : 231,990.75 = 231,990.75 : x
  2. Step 2: Convert to fraction form
    106,599.38/231,990.75 = 231,990.75/x
  3. Step 3: Cross multiply
    106,599.38x = 231,990.75 × 231,990.75
  4. Step 4: Simplify right side
    106,599.38x = 53,819,708,085.56
  5. Step 5: Solve for x
    x = 53,819,708,085.56/106,599.38
  6. Step 6: Final answer
    x = 504,878.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.