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Finding the Third Proportional to 86,336,674,830 and 192,524,948,891

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Solution

The third proportional to 86,336,674,830 and 192,524,948,891 is: 429,317,622,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,336,674,830 : 192,524,948,891 = 192,524,948,891 : x
  2. Step 2: Convert to fraction form
    86,336,674,830/192,524,948,891 = 192,524,948,891/x
  3. Step 3: Cross multiply
    86,336,674,830x = 192,524,948,891 × 192,524,948,891
  4. Step 4: Simplify right side
    86,336,674,830x = 37,065,855,945,482,163,978,240
  5. Step 5: Solve for x
    x = 37,065,855,945,482,163,978,240/86,336,674,830
  6. Step 6: Final answer
    x = 429,317,622,186.24

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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.