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Finding the Third Proportional to 86,336,674,280 and 192,524,947,913

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Solution

The third proportional to 86,336,674,280 and 192,524,947,913 is: 429,317,620,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336,674,280 : 192,524,947,913 = 192,524,947,913 : x
  2. Step 2: Convert to fraction form
    86,336,674,280/192,524,947,913 = 192,524,947,913/x
  3. Step 3: Cross multiply
    86,336,674,280x = 192,524,947,913 × 192,524,947,913
  4. Step 4: Simplify right side
    86,336,674,280x = 37,065,855,568,903,361,527,808
  5. Step 5: Solve for x
    x = 37,065,855,568,903,361,527,808/86,336,674,280
  6. Step 6: Final answer
    x = 429,317,620,559.42

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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.