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Finding the Third Proportional to 108,927 and 227,830

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Solution

The third proportional to 108,927 and 227,830 is: 476,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,927 : 227,830 = 227,830 : x
  2. Step 2: Convert to fraction form
    108,927/227,830 = 227,830/x
  3. Step 3: Cross multiply
    108,927x = 227,830 × 227,830
  4. Step 4: Simplify right side
    108,927x = 51,906,508,900
  5. Step 5: Solve for x
    x = 51,906,508,900/108,927
  6. Step 6: Final answer
    x = 476,525.64

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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.