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Finding the Third Proportional to 195,137,676 and 385,340,182

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Solution

The third proportional to 195,137,676 and 385,340,182 is: 760,934,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,137,676 : 385,340,182 = 385,340,182 : x
  2. Step 2: Convert to fraction form
    195,137,676/385,340,182 = 385,340,182/x
  3. Step 3: Cross multiply
    195,137,676x = 385,340,182 × 385,340,182
  4. Step 4: Simplify right side
    195,137,676x = 148,487,055,863,793,120
  5. Step 5: Solve for x
    x = 148,487,055,863,793,120/195,137,676
  6. Step 6: Final answer
    x = 760,934,837.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.