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Finding the Third Proportional to 43,464.50 and 95,224.50

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Solution

The third proportional to 43,464.50 and 95,224.50 is: 208,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464.50 : 95,224.50 = 95,224.50 : x
  2. Step 2: Convert to fraction form
    43,464.50/95,224.50 = 95,224.50/x
  3. Step 3: Cross multiply
    43,464.50x = 95,224.50 × 95,224.50
  4. Step 4: Simplify right side
    43,464.50x = 9,067,705,400.25
  5. Step 5: Solve for x
    x = 9,067,705,400.25/43,464.50
  6. Step 6: Final answer
    x = 208,623.25

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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.