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Finding the Third Proportional to 41,723.86 and 92,776.64

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Solution

The third proportional to 41,723.86 and 92,776.64 is: 206,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,723.86 : 92,776.64 = 92,776.64 : x
  2. Step 2: Convert to fraction form
    41,723.86/92,776.64 = 92,776.64/x
  3. Step 3: Cross multiply
    41,723.86x = 92,776.64 × 92,776.64
  4. Step 4: Simplify right side
    41,723.86x = 8,607,505,045.66
  5. Step 5: Solve for x
    x = 8,607,505,045.66/41,723.86
  6. Step 6: Final answer
    x = 206,296.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.