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Finding the Third Proportional to 41,941.13 and 91,855.69

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Solution

The third proportional to 41,941.13 and 91,855.69 is: 201,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,941.13 : 91,855.69 = 91,855.69 : x
  2. Step 2: Convert to fraction form
    41,941.13/91,855.69 = 91,855.69/x
  3. Step 3: Cross multiply
    41,941.13x = 91,855.69 × 91,855.69
  4. Step 4: Simplify right side
    41,941.13x = 8,437,467,326.10
  5. Step 5: Solve for x
    x = 8,437,467,326.10/41,941.13
  6. Step 6: Final answer
    x = 201,174.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.