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Finding the Third Proportional to 82,799,524,728 and 135,189,854,388

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Solution

The third proportional to 82,799,524,728 and 135,189,854,388 is: 220,729,488,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,799,524,728 : 135,189,854,388 = 135,189,854,388 : x
  2. Step 2: Convert to fraction form
    82,799,524,728/135,189,854,388 = 135,189,854,388/x
  3. Step 3: Cross multiply
    82,799,524,728x = 135,189,854,388 × 135,189,854,388
  4. Step 4: Simplify right side
    82,799,524,728x = 18,276,296,729,448,643,821,568
  5. Step 5: Solve for x
    x = 18,276,296,729,448,643,821,568/82,799,524,728
  6. Step 6: Final answer
    x = 220,729,488,357.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.