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Finding the Third Proportional to 86,168.25 and 189,344.25

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Solution

The third proportional to 86,168.25 and 189,344.25 is: 416,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,168.25 : 189,344.25 = 189,344.25 : x
  2. Step 2: Convert to fraction form
    86,168.25/189,344.25 = 189,344.25/x
  3. Step 3: Cross multiply
    86,168.25x = 189,344.25 × 189,344.25
  4. Step 4: Simplify right side
    86,168.25x = 35,851,245,008.06
  5. Step 5: Solve for x
    x = 35,851,245,008.06/86,168.25
  6. Step 6: Final answer
    x = 416,060.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.