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Finding the Third Proportional to 43,433.72 and 95,171.20

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Solution

The third proportional to 43,433.72 and 95,171.20 is: 208,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,433.72 : 95,171.20 = 95,171.20 : x
  2. Step 2: Convert to fraction form
    43,433.72/95,171.20 = 95,171.20/x
  3. Step 3: Cross multiply
    43,433.72x = 95,171.20 × 95,171.20
  4. Step 4: Simplify right side
    43,433.72x = 9,057,557,904.26
  5. Step 5: Solve for x
    x = 9,057,557,904.26/43,433.72
  6. Step 6: Final answer
    x = 208,537.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.