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Finding the Third Proportional to 30,908.81 and 66,191.06

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Solution

The third proportional to 30,908.81 and 66,191.06 is: 141,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.81 : 66,191.06 = 66,191.06 : x
  2. Step 2: Convert to fraction form
    30,908.81/66,191.06 = 66,191.06/x
  3. Step 3: Cross multiply
    30,908.81x = 66,191.06 × 66,191.06
  4. Step 4: Simplify right side
    30,908.81x = 4,381,256,754.88
  5. Step 5: Solve for x
    x = 4,381,256,754.88/30,908.81
  6. Step 6: Final answer
    x = 141,747.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.