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Finding the Third Proportional to 182,173,086 and 396,691,906.50

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Solution

The third proportional to 182,173,086 and 396,691,906.50 is: 863,818,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,173,086 : 396,691,906.50 = 396,691,906.50 : x
  2. Step 2: Convert to fraction form
    182,173,086/396,691,906.50 = 396,691,906.50/x
  3. Step 3: Cross multiply
    182,173,086x = 396,691,906.50 × 396,691,906.50
  4. Step 4: Simplify right side
    182,173,086x = 157,364,468,682,604,736
  5. Step 5: Solve for x
    x = 157,364,468,682,604,736/182,173,086
  6. Step 6: Final answer
    x = 863,818,427.51

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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.