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Finding the Third Proportional to 180,145,863 and 393,324,177

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Solution

The third proportional to 180,145,863 and 393,324,177 is: 858,770,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,145,863 : 393,324,177 = 393,324,177 : x
  2. Step 2: Convert to fraction form
    180,145,863/393,324,177 = 393,324,177/x
  3. Step 3: Cross multiply
    180,145,863x = 393,324,177 × 393,324,177
  4. Step 4: Simplify right side
    180,145,863x = 154,703,908,212,727,328
  5. Step 5: Solve for x
    x = 154,703,908,212,727,328/180,145,863
  6. Step 6: Final answer
    x = 858,770,252.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.