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Finding the Third Proportional to 44,080.50 and 95,853

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Solution

The third proportional to 44,080.50 and 95,853 is: 208,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,080.50 : 95,853 = 95,853 : x
  2. Step 2: Convert to fraction form
    44,080.50/95,853 = 95,853/x
  3. Step 3: Cross multiply
    44,080.50x = 95,853 × 95,853
  4. Step 4: Simplify right side
    44,080.50x = 9,187,797,609
  5. Step 5: Solve for x
    x = 9,187,797,609/44,080.50
  6. Step 6: Final answer
    x = 208,432.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.