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Finding the Third Proportional to 46,610.44 and 103,745.81

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Solution

The third proportional to 46,610.44 and 103,745.81 is: 230,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,610.44 : 103,745.81 = 103,745.81 : x
  2. Step 2: Convert to fraction form
    46,610.44/103,745.81 = 103,745.81/x
  3. Step 3: Cross multiply
    46,610.44x = 103,745.81 × 103,745.81
  4. Step 4: Simplify right side
    46,610.44x = 10,763,193,611.29
  5. Step 5: Solve for x
    x = 10,763,193,611.29/46,610.44
  6. Step 6: Final answer
    x = 230,918.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.