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Finding the Third Proportional to 75,194.16 and 167,199.19

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Solution

The third proportional to 75,194.16 and 167,199.19 is: 371,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194.16 : 167,199.19 = 167,199.19 : x
  2. Step 2: Convert to fraction form
    75,194.16/167,199.19 = 167,199.19/x
  3. Step 3: Cross multiply
    75,194.16x = 167,199.19 × 167,199.19
  4. Step 4: Simplify right side
    75,194.16x = 27,955,568,300.66
  5. Step 5: Solve for x
    x = 27,955,568,300.66/75,194.16
  6. Step 6: Final answer
    x = 371,778.47

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.