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Finding the Third Proportional to 110,214 and 225,098

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Solution

The third proportional to 110,214 and 225,098 is: 459,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,214 : 225,098 = 225,098 : x
  2. Step 2: Convert to fraction form
    110,214/225,098 = 225,098/x
  3. Step 3: Cross multiply
    110,214x = 225,098 × 225,098
  4. Step 4: Simplify right side
    110,214x = 50,669,109,604
  5. Step 5: Solve for x
    x = 50,669,109,604/110,214
  6. Step 6: Final answer
    x = 459,733.88

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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.