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Finding the Third Proportional to 108,687 and 231,818.25

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Solution

The third proportional to 108,687 and 231,818.25 is: 494,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,687 : 231,818.25 = 231,818.25 : x
  2. Step 2: Convert to fraction form
    108,687/231,818.25 = 231,818.25/x
  3. Step 3: Cross multiply
    108,687x = 231,818.25 × 231,818.25
  4. Step 4: Simplify right side
    108,687x = 53,739,701,033.06
  5. Step 5: Solve for x
    x = 53,739,701,033.06/108,687
  6. Step 6: Final answer
    x = 494,444.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.