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Finding the Third Proportional to 106,119 and 231,192

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Solution

The third proportional to 106,119 and 231,192 is: 503,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119 : 231,192 = 231,192 : x
  2. Step 2: Convert to fraction form
    106,119/231,192 = 231,192/x
  3. Step 3: Cross multiply
    106,119x = 231,192 × 231,192
  4. Step 4: Simplify right side
    106,119x = 53,449,740,864
  5. Step 5: Solve for x
    x = 53,449,740,864/106,119
  6. Step 6: Final answer
    x = 503,677.39

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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.