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Finding the Third Proportional to 41,889 and 90,336.75

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Solution

The third proportional to 41,889 and 90,336.75 is: 194,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,889 : 90,336.75 = 90,336.75 : x
  2. Step 2: Convert to fraction form
    41,889/90,336.75 = 90,336.75/x
  3. Step 3: Cross multiply
    41,889x = 90,336.75 × 90,336.75
  4. Step 4: Simplify right side
    41,889x = 8,160,728,400.56
  5. Step 5: Solve for x
    x = 8,160,728,400.56/41,889
  6. Step 6: Final answer
    x = 194,817.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.