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Finding the Third Proportional to 192,664,980 and 274,647,348

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Solution

The third proportional to 192,664,980 and 274,647,348 is: 391,514,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,664,980 : 274,647,348 = 274,647,348 : x
  2. Step 2: Convert to fraction form
    192,664,980/274,647,348 = 274,647,348/x
  3. Step 3: Cross multiply
    192,664,980x = 274,647,348 × 274,647,348
  4. Step 4: Simplify right side
    192,664,980x = 75,431,165,763,433,104
  5. Step 5: Solve for x
    x = 75,431,165,763,433,104/192,664,980
  6. Step 6: Final answer
    x = 391,514,668.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.