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Finding the Third Proportional to 97,611.75 and 213,900.75

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Solution

The third proportional to 97,611.75 and 213,900.75 is: 468,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611.75 : 213,900.75 = 213,900.75 : x
  2. Step 2: Convert to fraction form
    97,611.75/213,900.75 = 213,900.75/x
  3. Step 3: Cross multiply
    97,611.75x = 213,900.75 × 213,900.75
  4. Step 4: Simplify right side
    97,611.75x = 45,753,530,850.56
  5. Step 5: Solve for x
    x = 45,753,530,850.56/97,611.75
  6. Step 6: Final answer
    x = 468,729.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.