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Finding the Third Proportional to 48,933 and 103,120.50

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Solution

The third proportional to 48,933 and 103,120.50 is: 217,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,933 : 103,120.50 = 103,120.50 : x
  2. Step 2: Convert to fraction form
    48,933/103,120.50 = 103,120.50/x
  3. Step 3: Cross multiply
    48,933x = 103,120.50 × 103,120.50
  4. Step 4: Simplify right side
    48,933x = 10,633,837,520.25
  5. Step 5: Solve for x
    x = 10,633,837,520.25/48,933
  6. Step 6: Final answer
    x = 217,314.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.