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Finding the Third Proportional to 88,105,624 and 188,965,512

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Solution

The third proportional to 88,105,624 and 188,965,512 is: 405,285,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,105,624 : 188,965,512 = 188,965,512 : x
  2. Step 2: Convert to fraction form
    88,105,624/188,965,512 = 188,965,512/x
  3. Step 3: Cross multiply
    88,105,624x = 188,965,512 × 188,965,512
  4. Step 4: Simplify right side
    88,105,624x = 35,707,964,725,422,144
  5. Step 5: Solve for x
    x = 35,707,964,725,422,144/88,105,624
  6. Step 6: Final answer
    x = 405,285,872.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.