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Finding the Third Proportional to 91,638 and 214,110

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Solution

The third proportional to 91,638 and 214,110 is: 500,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,638 : 214,110 = 214,110 : x
  2. Step 2: Convert to fraction form
    91,638/214,110 = 214,110/x
  3. Step 3: Cross multiply
    91,638x = 214,110 × 214,110
  4. Step 4: Simplify right side
    91,638x = 45,843,092,100
  5. Step 5: Solve for x
    x = 45,843,092,100/91,638
  6. Step 6: Final answer
    x = 500,262.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.