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Finding the Third Proportional to 66,311.44 and 135,686.81

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Solution

The third proportional to 66,311.44 and 135,686.81 is: 277,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,311.44 : 135,686.81 = 135,686.81 : x
  2. Step 2: Convert to fraction form
    66,311.44/135,686.81 = 135,686.81/x
  3. Step 3: Cross multiply
    66,311.44x = 135,686.81 × 135,686.81
  4. Step 4: Simplify right side
    66,311.44x = 18,410,911,086.41
  5. Step 5: Solve for x
    x = 18,410,911,086.41/66,311.44
  6. Step 6: Final answer
    x = 277,643.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.