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Finding the Third Proportional to 106,452.94 and 231,805.88

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Solution

The third proportional to 106,452.94 and 231,805.88 is: 504,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.94 : 231,805.88 = 231,805.88 : x
  2. Step 2: Convert to fraction form
    106,452.94/231,805.88 = 231,805.88/x
  3. Step 3: Cross multiply
    106,452.94x = 231,805.88 × 231,805.88
  4. Step 4: Simplify right side
    106,452.94x = 53,733,963,684.52
  5. Step 5: Solve for x
    x = 53,733,963,684.52/106,452.94
  6. Step 6: Final answer
    x = 504,767.32

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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.