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Finding the Third Proportional to 184,846,950 and 400,517,240

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Solution

The third proportional to 184,846,950 and 400,517,240 is: 867,820,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,846,950 : 400,517,240 = 400,517,240 : x
  2. Step 2: Convert to fraction form
    184,846,950/400,517,240 = 400,517,240/x
  3. Step 3: Cross multiply
    184,846,950x = 400,517,240 × 400,517,240
  4. Step 4: Simplify right side
    184,846,950x = 160,414,059,537,217,600
  5. Step 5: Solve for x
    x = 160,414,059,537,217,600/184,846,950
  6. Step 6: Final answer
    x = 867,820,970.47

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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.