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Finding the Third Proportional to 43,305 and 97,811.25

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Solution

The third proportional to 43,305 and 97,811.25 is: 220,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,305 : 97,811.25 = 97,811.25 : x
  2. Step 2: Convert to fraction form
    43,305/97,811.25 = 97,811.25/x
  3. Step 3: Cross multiply
    43,305x = 97,811.25 × 97,811.25
  4. Step 4: Simplify right side
    43,305x = 9,567,040,626.56
  5. Step 5: Solve for x
    x = 9,567,040,626.56/43,305
  6. Step 6: Final answer
    x = 220,922.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.