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Finding the Third Proportional to 194,997,634 and 396,805,364

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Solution

The third proportional to 194,997,634 and 396,805,364 is: 807,468,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,997,634 : 396,805,364 = 396,805,364 : x
  2. Step 2: Convert to fraction form
    194,997,634/396,805,364 = 396,805,364/x
  3. Step 3: Cross multiply
    194,997,634x = 396,805,364 × 396,805,364
  4. Step 4: Simplify right side
    194,997,634x = 157,454,496,899,172,480
  5. Step 5: Solve for x
    x = 157,454,496,899,172,480/194,997,634
  6. Step 6: Final answer
    x = 807,468,755.74

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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.