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Finding the Third Proportional to 36,993.09 and 80,210.95

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Solution

The third proportional to 36,993.09 and 80,210.95 is: 173,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,993.09 : 80,210.95 = 80,210.95 : x
  2. Step 2: Convert to fraction form
    36,993.09/80,210.95 = 80,210.95/x
  3. Step 3: Cross multiply
    36,993.09x = 80,210.95 × 80,210.95
  4. Step 4: Simplify right side
    36,993.09x = 6,433,797,001.22
  5. Step 5: Solve for x
    x = 6,433,797,001.22/36,993.09
  6. Step 6: Final answer
    x = 173,918.87

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