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Finding the Third Proportional to 184,846,949 and 400,517,233

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Solution

The third proportional to 184,846,949 and 400,517,233 is: 867,820,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,846,949 : 400,517,233 = 400,517,233 : x
  2. Step 2: Convert to fraction form
    184,846,949/400,517,233 = 400,517,233/x
  3. Step 3: Cross multiply
    184,846,949x = 400,517,233 × 400,517,233
  4. Step 4: Simplify right side
    184,846,949x = 160,414,053,929,976,288
  5. Step 5: Solve for x
    x = 160,414,053,929,976,288/184,846,949
  6. Step 6: Final answer
    x = 867,820,944.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.