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Finding the Third Proportional to 192,298,900 and 391,393,762

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Solution

The third proportional to 192,298,900 and 391,393,762 is: 796,619,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298,900 : 391,393,762 = 391,393,762 : x
  2. Step 2: Convert to fraction form
    192,298,900/391,393,762 = 391,393,762/x
  3. Step 3: Cross multiply
    192,298,900x = 391,393,762 × 391,393,762
  4. Step 4: Simplify right side
    192,298,900x = 153,189,076,932,512,640
  5. Step 5: Solve for x
    x = 153,189,076,932,512,640/192,298,900
  6. Step 6: Final answer
    x = 796,619,621.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.