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Finding the Third Proportional to 86,160 and 189,344

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Solution

The third proportional to 86,160 and 189,344 is: 416,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,160 : 189,344 = 189,344 : x
  2. Step 2: Convert to fraction form
    86,160/189,344 = 189,344/x
  3. Step 3: Cross multiply
    86,160x = 189,344 × 189,344
  4. Step 4: Simplify right side
    86,160x = 35,851,150,336
  5. Step 5: Solve for x
    x = 35,851,150,336/86,160
  6. Step 6: Final answer
    x = 416,099.70

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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.