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Finding the Third Proportional to 86,131,284 and 189,002,922

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Solution

The third proportional to 86,131,284 and 189,002,922 is: 414,740,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131,284 : 189,002,922 = 189,002,922 : x
  2. Step 2: Convert to fraction form
    86,131,284/189,002,922 = 189,002,922/x
  3. Step 3: Cross multiply
    86,131,284x = 189,002,922 × 189,002,922
  4. Step 4: Simplify right side
    86,131,284x = 35,722,104,524,538,084
  5. Step 5: Solve for x
    x = 35,722,104,524,538,084/86,131,284
  6. Step 6: Final answer
    x = 414,740,183.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.