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Finding the Third Proportional to 108,904 and 231,026

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Solution

The third proportional to 108,904 and 231,026 is: 490,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904 : 231,026 = 231,026 : x
  2. Step 2: Convert to fraction form
    108,904/231,026 = 231,026/x
  3. Step 3: Cross multiply
    108,904x = 231,026 × 231,026
  4. Step 4: Simplify right side
    108,904x = 53,373,012,676
  5. Step 5: Solve for x
    x = 53,373,012,676/108,904
  6. Step 6: Final answer
    x = 490,092.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.