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Finding the Third Proportional to 106,043.06 and 231,138.56

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Solution

The third proportional to 106,043.06 and 231,138.56 is: 503,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,043.06 : 231,138.56 = 231,138.56 : x
  2. Step 2: Convert to fraction form
    106,043.06/231,138.56 = 231,138.56/x
  3. Step 3: Cross multiply
    106,043.06x = 231,138.56 × 231,138.56
  4. Step 4: Simplify right side
    106,043.06x = 53,425,035,074.57
  5. Step 5: Solve for x
    x = 53,425,035,074.57/106,043.06
  6. Step 6: Final answer
    x = 503,805.09

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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.