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Finding the Third Proportional to 106,702 and 216,474

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Solution

The third proportional to 106,702 and 216,474 is: 439,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702 : 216,474 = 216,474 : x
  2. Step 2: Convert to fraction form
    106,702/216,474 = 216,474/x
  3. Step 3: Cross multiply
    106,702x = 216,474 × 216,474
  4. Step 4: Simplify right side
    106,702x = 46,860,992,676
  5. Step 5: Solve for x
    x = 46,860,992,676/106,702
  6. Step 6: Final answer
    x = 439,176.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.