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Finding the Third Proportional to 101,810.25 and 223,697.25

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Solution

The third proportional to 101,810.25 and 223,697.25 is: 491,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810.25 : 223,697.25 = 223,697.25 : x
  2. Step 2: Convert to fraction form
    101,810.25/223,697.25 = 223,697.25/x
  3. Step 3: Cross multiply
    101,810.25x = 223,697.25 × 223,697.25
  4. Step 4: Simplify right side
    101,810.25x = 50,040,459,657.56
  5. Step 5: Solve for x
    x = 50,040,459,657.56/101,810.25
  6. Step 6: Final answer
    x = 491,507.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.