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Finding the Third Proportional to 194,274,231 and 396,352,362

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Solution

The third proportional to 194,274,231 and 396,352,362 is: 808,626,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,274,231 : 396,352,362 = 396,352,362 : x
  2. Step 2: Convert to fraction form
    194,274,231/396,352,362 = 396,352,362/x
  3. Step 3: Cross multiply
    194,274,231x = 396,352,362 × 396,352,362
  4. Step 4: Simplify right side
    194,274,231x = 157,095,194,862,979,040
  5. Step 5: Solve for x
    x = 157,095,194,862,979,040/194,274,231
  6. Step 6: Final answer
    x = 808,626,002.81

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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.