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Finding the Third Proportional to 43,986.38 and 103,813.31

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Solution

The third proportional to 43,986.38 and 103,813.31 is: 245,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986.38 : 103,813.31 = 103,813.31 : x
  2. Step 2: Convert to fraction form
    43,986.38/103,813.31 = 103,813.31/x
  3. Step 3: Cross multiply
    43,986.38x = 103,813.31 × 103,813.31
  4. Step 4: Simplify right side
    43,986.38x = 10,777,203,852.22
  5. Step 5: Solve for x
    x = 10,777,203,852.22/43,986.38
  6. Step 6: Final answer
    x = 245,012.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.