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Finding the Third Proportional to 68,197.41 and 148,198.99

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Solution

The third proportional to 68,197.41 and 148,198.99 is: 322,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.41 : 148,198.99 = 148,198.99 : x
  2. Step 2: Convert to fraction form
    68,197.41/148,198.99 = 148,198.99/x
  3. Step 3: Cross multiply
    68,197.41x = 148,198.99 × 148,198.99
  4. Step 4: Simplify right side
    68,197.41x = 21,962,941,285.39
  5. Step 5: Solve for x
    x = 21,962,941,285.39/68,197.41
  6. Step 6: Final answer
    x = 322,049.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.