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Finding the Third Proportional to 96,678 and 214,092

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Solution

The third proportional to 96,678 and 214,092 is: 474,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678 : 214,092 = 214,092 : x
  2. Step 2: Convert to fraction form
    96,678/214,092 = 214,092/x
  3. Step 3: Cross multiply
    96,678x = 214,092 × 214,092
  4. Step 4: Simplify right side
    96,678x = 45,835,384,464
  5. Step 5: Solve for x
    x = 45,835,384,464/96,678
  6. Step 6: Final answer
    x = 474,103.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.