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Finding the Third Proportional to 41,196.50 and 89,944

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Solution

The third proportional to 41,196.50 and 89,944 is: 196,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,196.50 : 89,944 = 89,944 : x
  2. Step 2: Convert to fraction form
    41,196.50/89,944 = 89,944/x
  3. Step 3: Cross multiply
    41,196.50x = 89,944 × 89,944
  4. Step 4: Simplify right side
    41,196.50x = 8,089,923,136
  5. Step 5: Solve for x
    x = 8,089,923,136/41,196.50
  6. Step 6: Final answer
    x = 196,374.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.