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Finding the Third Proportional to 41,980.15 and 91,261.69

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Solution

The third proportional to 41,980.15 and 91,261.69 is: 198,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.15 : 91,261.69 = 91,261.69 : x
  2. Step 2: Convert to fraction form
    41,980.15/91,261.69 = 91,261.69/x
  3. Step 3: Cross multiply
    41,980.15x = 91,261.69 × 91,261.69
  4. Step 4: Simplify right side
    41,980.15x = 8,328,695,605.35
  5. Step 5: Solve for x
    x = 8,328,695,605.35/41,980.15
  6. Step 6: Final answer
    x = 198,396.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.