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Finding the Third Proportional to 86,336,674,825.50 and 192,524,948,883

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Solution

The third proportional to 86,336,674,825.50 and 192,524,948,883 is: 429,317,622,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336,674,825.50 : 192,524,948,883 = 192,524,948,883 : x
  2. Step 2: Convert to fraction form
    86,336,674,825.50/192,524,948,883 = 192,524,948,883/x
  3. Step 3: Cross multiply
    86,336,674,825.50x = 192,524,948,883 × 192,524,948,883
  4. Step 4: Simplify right side
    86,336,674,825.50x = 37,065,855,942,401,762,263,040
  5. Step 5: Solve for x
    x = 37,065,855,942,401,762,263,040/86,336,674,825.50
  6. Step 6: Final answer
    x = 429,317,622,172.94

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