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Finding the Third Proportional to 184,846,948 and 400,517,236

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Solution

The third proportional to 184,846,948 and 400,517,236 is: 867,820,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,846,948 : 400,517,236 = 400,517,236 : x
  2. Step 2: Convert to fraction form
    184,846,948/400,517,236 = 400,517,236/x
  3. Step 3: Cross multiply
    184,846,948x = 400,517,236 × 400,517,236
  4. Step 4: Simplify right side
    184,846,948x = 160,414,056,333,079,680
  5. Step 5: Solve for x
    x = 160,414,056,333,079,680/184,846,948
  6. Step 6: Final answer
    x = 867,820,962.52

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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.