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Finding the Third Proportional to 44,516.25 and 95,944.50

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Solution

The third proportional to 44,516.25 and 95,944.50 is: 206,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,516.25 : 95,944.50 = 95,944.50 : x
  2. Step 2: Convert to fraction form
    44,516.25/95,944.50 = 95,944.50/x
  3. Step 3: Cross multiply
    44,516.25x = 95,944.50 × 95,944.50
  4. Step 4: Simplify right side
    44,516.25x = 9,205,347,080.25
  5. Step 5: Solve for x
    x = 9,205,347,080.25/44,516.25
  6. Step 6: Final answer
    x = 206,786.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.