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Finding the Third Proportional to 199,853,424 and 445,659,628.50

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Solution

The third proportional to 199,853,424 and 445,659,628.50 is: 993,790,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853,424 : 445,659,628.50 = 445,659,628.50 : x
  2. Step 2: Convert to fraction form
    199,853,424/445,659,628.50 = 445,659,628.50/x
  3. Step 3: Cross multiply
    199,853,424x = 445,659,628.50 × 445,659,628.50
  4. Step 4: Simplify right side
    199,853,424x = 198,612,504,474,758,016
  5. Step 5: Solve for x
    x = 198,612,504,474,758,016/199,853,424
  6. Step 6: Final answer
    x = 993,790,851.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.