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Finding the Third Proportional to 182,173,764 and 396,693,198

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Solution

The third proportional to 182,173,764 and 396,693,198 is: 863,820,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,173,764 : 396,693,198 = 396,693,198 : x
  2. Step 2: Convert to fraction form
    182,173,764/396,693,198 = 396,693,198/x
  3. Step 3: Cross multiply
    182,173,764x = 396,693,198 × 396,693,198
  4. Step 4: Simplify right side
    182,173,764x = 157,365,493,339,467,200
  5. Step 5: Solve for x
    x = 157,365,493,339,467,200/182,173,764
  6. Step 6: Final answer
    x = 863,820,837.23

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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.