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Finding the Third Proportional to 86,150,344 and 184,410,474

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Solution

The third proportional to 86,150,344 and 184,410,474 is: 394,742,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,150,344 : 184,410,474 = 184,410,474 : x
  2. Step 2: Convert to fraction form
    86,150,344/184,410,474 = 184,410,474/x
  3. Step 3: Cross multiply
    86,150,344x = 184,410,474 × 184,410,474
  4. Step 4: Simplify right side
    86,150,344x = 34,007,222,920,904,676
  5. Step 5: Solve for x
    x = 34,007,222,920,904,676/86,150,344
  6. Step 6: Final answer
    x = 394,742,740.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.