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Finding the Third Proportional to 194,945,682 and 428,150,418

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Solution

The third proportional to 194,945,682 and 428,150,418 is: 940,327,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,945,682 : 428,150,418 = 428,150,418 : x
  2. Step 2: Convert to fraction form
    194,945,682/428,150,418 = 428,150,418/x
  3. Step 3: Cross multiply
    194,945,682x = 428,150,418 × 428,150,418
  4. Step 4: Simplify right side
    194,945,682x = 183,312,780,433,574,720
  5. Step 5: Solve for x
    x = 183,312,780,433,574,720/194,945,682
  6. Step 6: Final answer
    x = 940,327,472.52

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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.