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Finding the Third Proportional to 99,833,664 and 218,040,198

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Solution

The third proportional to 99,833,664 and 218,040,198 is: 476,207,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,833,664 : 218,040,198 = 218,040,198 : x
  2. Step 2: Convert to fraction form
    99,833,664/218,040,198 = 218,040,198/x
  3. Step 3: Cross multiply
    99,833,664x = 218,040,198 × 218,040,198
  4. Step 4: Simplify right side
    99,833,664x = 47,541,527,943,879,200
  5. Step 5: Solve for x
    x = 47,541,527,943,879,200/99,833,664
  6. Step 6: Final answer
    x = 476,207,383.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.