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Finding the Third Proportional to 48,181.50 and 103,745.81

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Solution

The third proportional to 48,181.50 and 103,745.81 is: 223,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,181.50 : 103,745.81 = 103,745.81 : x
  2. Step 2: Convert to fraction form
    48,181.50/103,745.81 = 103,745.81/x
  3. Step 3: Cross multiply
    48,181.50x = 103,745.81 × 103,745.81
  4. Step 4: Simplify right side
    48,181.50x = 10,763,193,611.29
  5. Step 5: Solve for x
    x = 10,763,193,611.29/48,181.50
  6. Step 6: Final answer
    x = 223,388.51

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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.