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Finding the Third Proportional to 102,864 and 213,936

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Solution

The third proportional to 102,864 and 213,936 is: 444,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,864 : 213,936 = 213,936 : x
  2. Step 2: Convert to fraction form
    102,864/213,936 = 213,936/x
  3. Step 3: Cross multiply
    102,864x = 213,936 × 213,936
  4. Step 4: Simplify right side
    102,864x = 45,768,612,096
  5. Step 5: Solve for x
    x = 45,768,612,096/102,864
  6. Step 6: Final answer
    x = 444,942.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.