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Finding the Third Proportional to 109,218 and 146,793.75

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Solution

The third proportional to 109,218 and 146,793.75 is: 197,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218 : 146,793.75 = 146,793.75 : x
  2. Step 2: Convert to fraction form
    109,218/146,793.75 = 146,793.75/x
  3. Step 3: Cross multiply
    109,218x = 146,793.75 × 146,793.75
  4. Step 4: Simplify right side
    109,218x = 21,548,405,039.06
  5. Step 5: Solve for x
    x = 21,548,405,039.06/109,218
  6. Step 6: Final answer
    x = 197,297.19

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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.