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Finding the Third Proportional to 108,942 and 227,862

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Solution

The third proportional to 108,942 and 227,862 is: 476,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,942 : 227,862 = 227,862 : x
  2. Step 2: Convert to fraction form
    108,942/227,862 = 227,862/x
  3. Step 3: Cross multiply
    108,942x = 227,862 × 227,862
  4. Step 4: Simplify right side
    108,942x = 51,921,091,044
  5. Step 5: Solve for x
    x = 51,921,091,044/108,942
  6. Step 6: Final answer
    x = 476,593.89

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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.