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Finding the Third Proportional to 181,246,188 and 268,471,746

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Solution

The third proportional to 181,246,188 and 268,471,746 is: 397,675,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,246,188 : 268,471,746 = 268,471,746 : x
  2. Step 2: Convert to fraction form
    181,246,188/268,471,746 = 268,471,746/x
  3. Step 3: Cross multiply
    181,246,188x = 268,471,746 × 268,471,746
  4. Step 4: Simplify right side
    181,246,188x = 72,077,078,400,288,512
  5. Step 5: Solve for x
    x = 72,077,078,400,288,512/181,246,188
  6. Step 6: Final answer
    x = 397,675,003.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.