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Finding the Third Proportional to 43,464.75 and 95,225.25

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Solution

The third proportional to 43,464.75 and 95,225.25 is: 208,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464.75 : 95,225.25 = 95,225.25 : x
  2. Step 2: Convert to fraction form
    43,464.75/95,225.25 = 95,225.25/x
  3. Step 3: Cross multiply
    43,464.75x = 95,225.25 × 95,225.25
  4. Step 4: Simplify right side
    43,464.75x = 9,067,848,237.56
  5. Step 5: Solve for x
    x = 9,067,848,237.56/43,464.75
  6. Step 6: Final answer
    x = 208,625.34

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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.