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Finding the Third Proportional to 43,922.25 and 95,795.16

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Solution

The third proportional to 43,922.25 and 95,795.16 is: 208,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,922.25 : 95,795.16 = 95,795.16 : x
  2. Step 2: Convert to fraction form
    43,922.25/95,795.16 = 95,795.16/x
  3. Step 3: Cross multiply
    43,922.25x = 95,795.16 × 95,795.16
  4. Step 4: Simplify right side
    43,922.25x = 9,176,711,960.96
  5. Step 5: Solve for x
    x = 9,176,711,960.96/43,922.25
  6. Step 6: Final answer
    x = 208,930.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.