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Finding the Third Proportional to 194,274,222 and 396,352,338

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Solution

The third proportional to 194,274,222 and 396,352,338 is: 808,625,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,274,222 : 396,352,338 = 396,352,338 : x
  2. Step 2: Convert to fraction form
    194,274,222/396,352,338 = 396,352,338/x
  3. Step 3: Cross multiply
    194,274,222x = 396,352,338 × 396,352,338
  4. Step 4: Simplify right side
    194,274,222x = 157,095,175,838,066,240
  5. Step 5: Solve for x
    x = 157,095,175,838,066,240/194,274,222
  6. Step 6: Final answer
    x = 808,625,942.34

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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.