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Finding the Third Proportional to 232,790,843 and 323,677,096

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Solution

The third proportional to 232,790,843 and 323,677,096 is: 450,047,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,790,843 : 323,677,096 = 323,677,096 : x
  2. Step 2: Convert to fraction form
    232,790,843/323,677,096 = 323,677,096/x
  3. Step 3: Cross multiply
    232,790,843x = 323,677,096 × 323,677,096
  4. Step 4: Simplify right side
    232,790,843x = 104,766,862,474,993,216
  5. Step 5: Solve for x
    x = 104,766,862,474,993,216/232,790,843
  6. Step 6: Final answer
    x = 450,047,180.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.