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Finding the Third Proportional to 83,782.13 and 179,557.13

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Solution

The third proportional to 83,782.13 and 179,557.13 is: 384,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.13 : 179,557.13 = 179,557.13 : x
  2. Step 2: Convert to fraction form
    83,782.13/179,557.13 = 179,557.13/x
  3. Step 3: Cross multiply
    83,782.13x = 179,557.13 × 179,557.13
  4. Step 4: Simplify right side
    83,782.13x = 32,240,761,138.27
  5. Step 5: Solve for x
    x = 32,240,761,138.27/83,782.13
  6. Step 6: Final answer
    x = 384,816.70

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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.