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Finding the Third Proportional to 41,682.09 and 91,307.25

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Solution

The third proportional to 41,682.09 and 91,307.25 is: 200,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,682.09 : 91,307.25 = 91,307.25 : x
  2. Step 2: Convert to fraction form
    41,682.09/91,307.25 = 91,307.25/x
  3. Step 3: Cross multiply
    41,682.09x = 91,307.25 × 91,307.25
  4. Step 4: Simplify right side
    41,682.09x = 8,337,013,902.56
  5. Step 5: Solve for x
    x = 8,337,013,902.56/41,682.09
  6. Step 6: Final answer
    x = 200,014.28

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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.