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Finding the Third Proportional to 101,809.50 and 223,695.75

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Solution

The third proportional to 101,809.50 and 223,695.75 is: 491,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,809.50 : 223,695.75 = 223,695.75 : x
  2. Step 2: Convert to fraction form
    101,809.50/223,695.75 = 223,695.75/x
  3. Step 3: Cross multiply
    101,809.50x = 223,695.75 × 223,695.75
  4. Step 4: Simplify right side
    101,809.50x = 50,039,788,568.06
  5. Step 5: Solve for x
    x = 50,039,788,568.06/101,809.50
  6. Step 6: Final answer
    x = 491,504.12

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