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Finding the Third Proportional to 182,183,933 and 396,713,596

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Solution

The third proportional to 182,183,933 and 396,713,596 is: 863,861,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,183,933 : 396,713,596 = 396,713,596 : x
  2. Step 2: Convert to fraction form
    182,183,933/396,713,596 = 396,713,596/x
  3. Step 3: Cross multiply
    182,183,933x = 396,713,596 × 396,713,596
  4. Step 4: Simplify right side
    182,183,933x = 157,381,677,251,251,200
  5. Step 5: Solve for x
    x = 157,381,677,251,251,200/182,183,933
  6. Step 6: Final answer
    x = 863,861,453.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.