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Finding the Third Proportional to 101,231.44 and 221,530.78

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Solution

The third proportional to 101,231.44 and 221,530.78 is: 484,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,231.44 : 221,530.78 = 221,530.78 : x
  2. Step 2: Convert to fraction form
    101,231.44/221,530.78 = 221,530.78/x
  3. Step 3: Cross multiply
    101,231.44x = 221,530.78 × 221,530.78
  4. Step 4: Simplify right side
    101,231.44x = 49,075,887,041.24
  5. Step 5: Solve for x
    x = 49,075,887,041.24/101,231.44
  6. Step 6: Final answer
    x = 484,789.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.