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Finding the Third Proportional to 41,845.50 and 91,983

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Solution

The third proportional to 41,845.50 and 91,983 is: 202,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,845.50 : 91,983 = 91,983 : x
  2. Step 2: Convert to fraction form
    41,845.50/91,983 = 91,983/x
  3. Step 3: Cross multiply
    41,845.50x = 91,983 × 91,983
  4. Step 4: Simplify right side
    41,845.50x = 8,460,872,289
  5. Step 5: Solve for x
    x = 8,460,872,289/41,845.50
  6. Step 6: Final answer
    x = 202,193.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.