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Finding the Third Proportional to 195,347,198 and 406,770,556

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Solution

The third proportional to 195,347,198 and 406,770,556 is: 847,016,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,347,198 : 406,770,556 = 406,770,556 : x
  2. Step 2: Convert to fraction form
    195,347,198/406,770,556 = 406,770,556/x
  3. Step 3: Cross multiply
    195,347,198x = 406,770,556 × 406,770,556
  4. Step 4: Simplify right side
    195,347,198x = 165,462,285,228,549,120
  5. Step 5: Solve for x
    x = 165,462,285,228,549,120/195,347,198
  6. Step 6: Final answer
    x = 847,016,424.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.