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Finding the Third Proportional to 109,003.50 and 146,479.50

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Solution

The third proportional to 109,003.50 and 146,479.50 is: 196,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,003.50 : 146,479.50 = 146,479.50 : x
  2. Step 2: Convert to fraction form
    109,003.50/146,479.50 = 146,479.50/x
  3. Step 3: Cross multiply
    109,003.50x = 146,479.50 × 146,479.50
  4. Step 4: Simplify right side
    109,003.50x = 21,456,243,920.25
  5. Step 5: Solve for x
    x = 21,456,243,920.25/109,003.50
  6. Step 6: Final answer
    x = 196,839.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.