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Finding the Third Proportional to 192,039,638 and 274,420,215

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Solution

The third proportional to 192,039,638 and 274,420,215 is: 392,140,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,039,638 : 274,420,215 = 274,420,215 : x
  2. Step 2: Convert to fraction form
    192,039,638/274,420,215 = 274,420,215/x
  3. Step 3: Cross multiply
    192,039,638x = 274,420,215 × 274,420,215
  4. Step 4: Simplify right side
    192,039,638x = 75,306,454,400,646,224
  5. Step 5: Solve for x
    x = 75,306,454,400,646,224/192,039,638
  6. Step 6: Final answer
    x = 392,140,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.