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Finding the Third Proportional to 49,376.22 and 106,246.77

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Solution

The third proportional to 49,376.22 and 106,246.77 is: 228,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376.22 : 106,246.77 = 106,246.77 : x
  2. Step 2: Convert to fraction form
    49,376.22/106,246.77 = 106,246.77/x
  3. Step 3: Cross multiply
    49,376.22x = 106,246.77 × 106,246.77
  4. Step 4: Simplify right side
    49,376.22x = 11,288,375,413.29
  5. Step 5: Solve for x
    x = 11,288,375,413.29/49,376.22
  6. Step 6: Final answer
    x = 228,619.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.