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Finding the Third Proportional to 101,221.88 and 221,511.75

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Solution

The third proportional to 101,221.88 and 221,511.75 is: 484,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,221.88 : 221,511.75 = 221,511.75 : x
  2. Step 2: Convert to fraction form
    101,221.88/221,511.75 = 221,511.75/x
  3. Step 3: Cross multiply
    101,221.88x = 221,511.75 × 221,511.75
  4. Step 4: Simplify right side
    101,221.88x = 49,067,455,388.06
  5. Step 5: Solve for x
    x = 49,067,455,388.06/101,221.88
  6. Step 6: Final answer
    x = 484,751.50

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Why These Related Problems?

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