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Finding the Third Proportional to 217,741,198.50 and 322,530,133.50

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Solution

The third proportional to 217,741,198.50 and 322,530,133.50 is: 477,749,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,741,198.50 : 322,530,133.50 = 322,530,133.50 : x
  2. Step 2: Convert to fraction form
    217,741,198.50/322,530,133.50 = 322,530,133.50/x
  3. Step 3: Cross multiply
    217,741,198.50x = 322,530,133.50 × 322,530,133.50
  4. Step 4: Simplify right side
    217,741,198.50x = 104,025,687,015,527,824
  5. Step 5: Solve for x
    x = 104,025,687,015,527,824/217,741,198.50
  6. Step 6: Final answer
    x = 477,749,216.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.