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Finding the Third Proportional to 194,997,624 and 396,805,344

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Solution

The third proportional to 194,997,624 and 396,805,344 is: 807,468,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,997,624 : 396,805,344 = 396,805,344 : x
  2. Step 2: Convert to fraction form
    194,997,624/396,805,344 = 396,805,344/x
  3. Step 3: Cross multiply
    194,997,624x = 396,805,344 × 396,805,344
  4. Step 4: Simplify right side
    194,997,624x = 157,454,481,026,958,336
  5. Step 5: Solve for x
    x = 157,454,481,026,958,336/194,997,624
  6. Step 6: Final answer
    x = 807,468,715.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.