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Finding the Third Proportional to 41,856.75 and 91,869.19

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Solution

The third proportional to 41,856.75 and 91,869.19 is: 201,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 91,869.19 = 91,869.19 : x
  2. Step 2: Convert to fraction form
    41,856.75/91,869.19 = 91,869.19/x
  3. Step 3: Cross multiply
    41,856.75x = 91,869.19 × 91,869.19
  4. Step 4: Simplify right side
    41,856.75x = 8,439,947,611.91
  5. Step 5: Solve for x
    x = 8,439,947,611.91/41,856.75
  6. Step 6: Final answer
    x = 201,638.87

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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.