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Finding the Third Proportional to 88,869 and 194,958.75

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Solution

The third proportional to 88,869 and 194,958.75 is: 427,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,869 : 194,958.75 = 194,958.75 : x
  2. Step 2: Convert to fraction form
    88,869/194,958.75 = 194,958.75/x
  3. Step 3: Cross multiply
    88,869x = 194,958.75 × 194,958.75
  4. Step 4: Simplify right side
    88,869x = 38,008,914,201.56
  5. Step 5: Solve for x
    x = 38,008,914,201.56/88,869
  6. Step 6: Final answer
    x = 427,695.98

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Why These Related Problems?

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