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Finding the Third Proportional to 185,198,106 and 394,992,672

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Solution

The third proportional to 185,198,106 and 394,992,672 is: 842,444,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,198,106 : 394,992,672 = 394,992,672 : x
  2. Step 2: Convert to fraction form
    185,198,106/394,992,672 = 394,992,672/x
  3. Step 3: Cross multiply
    185,198,106x = 394,992,672 × 394,992,672
  4. Step 4: Simplify right side
    185,198,106x = 156,019,210,933,699,584
  5. Step 5: Solve for x
    x = 156,019,210,933,699,584/185,198,106
  6. Step 6: Final answer
    x = 842,444,959.64

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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.