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Finding the Third Proportional to 83,496.66 and 169,909.31

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Solution

The third proportional to 83,496.66 and 169,909.31 is: 345,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496.66 : 169,909.31 = 169,909.31 : x
  2. Step 2: Convert to fraction form
    83,496.66/169,909.31 = 169,909.31/x
  3. Step 3: Cross multiply
    83,496.66x = 169,909.31 × 169,909.31
  4. Step 4: Simplify right side
    83,496.66x = 28,869,174,474.22
  5. Step 5: Solve for x
    x = 28,869,174,474.22/83,496.66
  6. Step 6: Final answer
    x = 345,752.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.