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Finding the Third Proportional to 104,211.25 and 212,105.38

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Solution

The third proportional to 104,211.25 and 212,105.38 is: 431,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,211.25 : 212,105.38 = 212,105.38 : x
  2. Step 2: Convert to fraction form
    104,211.25/212,105.38 = 212,105.38/x
  3. Step 3: Cross multiply
    104,211.25x = 212,105.38 × 212,105.38
  4. Step 4: Simplify right side
    104,211.25x = 44,988,690,103.89
  5. Step 5: Solve for x
    x = 44,988,690,103.89/104,211.25
  6. Step 6: Final answer
    x = 431,706.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.