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Finding the Third Proportional to 146,108 and 197,990

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Solution

The third proportional to 146,108 and 197,990 is: 268,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,108 : 197,990 = 197,990 : x
  2. Step 2: Convert to fraction form
    146,108/197,990 = 197,990/x
  3. Step 3: Cross multiply
    146,108x = 197,990 × 197,990
  4. Step 4: Simplify right side
    146,108x = 39,200,040,100
  5. Step 5: Solve for x
    x = 39,200,040,100/146,108
  6. Step 6: Final answer
    x = 268,294.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.