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Finding the Third Proportional to 83,436.75 and 179,988.75

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Solution

The third proportional to 83,436.75 and 179,988.75 is: 388,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436.75 : 179,988.75 = 179,988.75 : x
  2. Step 2: Convert to fraction form
    83,436.75/179,988.75 = 179,988.75/x
  3. Step 3: Cross multiply
    83,436.75x = 179,988.75 × 179,988.75
  4. Step 4: Simplify right side
    83,436.75x = 32,395,950,126.56
  5. Step 5: Solve for x
    x = 32,395,950,126.56/83,436.75
  6. Step 6: Final answer
    x = 388,269.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.