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Finding the Third Proportional to 108,613 and 227,151

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Solution

The third proportional to 108,613 and 227,151 is: 475,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,613 : 227,151 = 227,151 : x
  2. Step 2: Convert to fraction form
    108,613/227,151 = 227,151/x
  3. Step 3: Cross multiply
    108,613x = 227,151 × 227,151
  4. Step 4: Simplify right side
    108,613x = 51,597,576,801
  5. Step 5: Solve for x
    x = 51,597,576,801/108,613
  6. Step 6: Final answer
    x = 475,058.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.