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Finding the Third Proportional to 48,124,736 and 100,215,231

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Solution

The third proportional to 48,124,736 and 100,215,231 is: 208,688,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,124,736 : 100,215,231 = 100,215,231 : x
  2. Step 2: Convert to fraction form
    48,124,736/100,215,231 = 100,215,231/x
  3. Step 3: Cross multiply
    48,124,736x = 100,215,231 × 100,215,231
  4. Step 4: Simplify right side
    48,124,736x = 10,043,092,524,383,360
  5. Step 5: Solve for x
    x = 10,043,092,524,383,360/48,124,736
  6. Step 6: Final answer
    x = 208,688,781.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.