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Finding the Third Proportional to 86,336,674,821 and 192,524,948,874

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Solution

The third proportional to 86,336,674,821 and 192,524,948,874 is: 429,317,622,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336,674,821 : 192,524,948,874 = 192,524,948,874 : x
  2. Step 2: Convert to fraction form
    86,336,674,821/192,524,948,874 = 192,524,948,874/x
  3. Step 3: Cross multiply
    86,336,674,821x = 192,524,948,874 × 192,524,948,874
  4. Step 4: Simplify right side
    86,336,674,821x = 37,065,855,938,936,315,052,032
  5. Step 5: Solve for x
    x = 37,065,855,938,936,315,052,032/86,336,674,821
  6. Step 6: Final answer
    x = 429,317,622,155.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.