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Finding the Third Proportional to 203,781,831 and 447,597,438

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Solution

The third proportional to 203,781,831 and 447,597,438 is: 983,127,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781,831 : 447,597,438 = 447,597,438 : x
  2. Step 2: Convert to fraction form
    203,781,831/447,597,438 = 447,597,438/x
  3. Step 3: Cross multiply
    203,781,831x = 447,597,438 × 447,597,438
  4. Step 4: Simplify right side
    203,781,831x = 200,343,466,504,163,840
  5. Step 5: Solve for x
    x = 200,343,466,504,163,840/203,781,831
  6. Step 6: Final answer
    x = 983,127,227.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.