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Finding the Third Proportional to 106,972.69 and 231,782.81

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Solution

The third proportional to 106,972.69 and 231,782.81 is: 502,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.69 : 231,782.81 = 231,782.81 : x
  2. Step 2: Convert to fraction form
    106,972.69/231,782.81 = 231,782.81/x
  3. Step 3: Cross multiply
    106,972.69x = 231,782.81 × 231,782.81
  4. Step 4: Simplify right side
    106,972.69x = 53,723,272,170.41
  5. Step 5: Solve for x
    x = 53,723,272,170.41/106,972.69
  6. Step 6: Final answer
    x = 502,214.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.