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Finding the Third Proportional to 184,846,965 and 400,517,270

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Solution

The third proportional to 184,846,965 and 400,517,270 is: 867,821,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,846,965 : 400,517,270 = 400,517,270 : x
  2. Step 2: Convert to fraction form
    184,846,965/400,517,270 = 400,517,270/x
  3. Step 3: Cross multiply
    184,846,965x = 400,517,270 × 400,517,270
  4. Step 4: Simplify right side
    184,846,965x = 160,414,083,568,252,896
  5. Step 5: Solve for x
    x = 160,414,083,568,252,896/184,846,965
  6. Step 6: Final answer
    x = 867,821,030.05

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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.