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Finding the Third Proportional to 135,518.06 and 194,901.19

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Solution

The third proportional to 135,518.06 and 194,901.19 is: 280,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,518.06 : 194,901.19 = 194,901.19 : x
  2. Step 2: Convert to fraction form
    135,518.06/194,901.19 = 194,901.19/x
  3. Step 3: Cross multiply
    135,518.06x = 194,901.19 × 194,901.19
  4. Step 4: Simplify right side
    135,518.06x = 37,986,472,888.91
  5. Step 5: Solve for x
    x = 37,986,472,888.91/135,518.06
  6. Step 6: Final answer
    x = 280,305.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.