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Finding the Third Proportional to 185,198,105 and 394,992,670

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Solution

The third proportional to 185,198,105 and 394,992,670 is: 842,444,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,198,105 : 394,992,670 = 394,992,670 : x
  2. Step 2: Convert to fraction form
    185,198,105/394,992,670 = 394,992,670/x
  3. Step 3: Cross multiply
    185,198,105x = 394,992,670 × 394,992,670
  4. Step 4: Simplify right side
    185,198,105x = 156,019,209,353,728,896
  5. Step 5: Solve for x
    x = 156,019,209,353,728,896/185,198,105
  6. Step 6: Final answer
    x = 842,444,955.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.