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Finding the Third Proportional to 108,393.50 and 231,853

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Solution

The third proportional to 108,393.50 and 231,853 is: 495,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,393.50 : 231,853 = 231,853 : x
  2. Step 2: Convert to fraction form
    108,393.50/231,853 = 231,853/x
  3. Step 3: Cross multiply
    108,393.50x = 231,853 × 231,853
  4. Step 4: Simplify right side
    108,393.50x = 53,755,813,609
  5. Step 5: Solve for x
    x = 53,755,813,609/108,393.50
  6. Step 6: Final answer
    x = 495,932.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.