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Finding the Third Proportional to 70,906.13 and 151,198.13

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Solution

The third proportional to 70,906.13 and 151,198.13 is: 322,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.13 : 151,198.13 = 151,198.13 : x
  2. Step 2: Convert to fraction form
    70,906.13/151,198.13 = 151,198.13/x
  3. Step 3: Cross multiply
    70,906.13x = 151,198.13 × 151,198.13
  4. Step 4: Simplify right side
    70,906.13x = 22,860,873,003.52
  5. Step 5: Solve for x
    x = 22,860,873,003.52/70,906.13
  6. Step 6: Final answer
    x = 322,410.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.