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Finding the Third Proportional to 41,537.81 and 91,383.19

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Solution

The third proportional to 41,537.81 and 91,383.19 is: 201,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537.81 : 91,383.19 = 91,383.19 : x
  2. Step 2: Convert to fraction form
    41,537.81/91,383.19 = 91,383.19/x
  3. Step 3: Cross multiply
    41,537.81x = 91,383.19 × 91,383.19
  4. Step 4: Simplify right side
    41,537.81x = 8,350,886,957.66
  5. Step 5: Solve for x
    x = 8,350,886,957.66/41,537.81
  6. Step 6: Final answer
    x = 201,043.01

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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.