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Finding the Third Proportional to 108,628 and 227,186

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Solution

The third proportional to 108,628 and 227,186 is: 475,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,628 : 227,186 = 227,186 : x
  2. Step 2: Convert to fraction form
    108,628/227,186 = 227,186/x
  3. Step 3: Cross multiply
    108,628x = 227,186 × 227,186
  4. Step 4: Simplify right side
    108,628x = 51,613,478,596
  5. Step 5: Solve for x
    x = 51,613,478,596/108,628
  6. Step 6: Final answer
    x = 475,139.73

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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.