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Finding the Third Proportional to 101,221.84 and 221,511.69

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Solution

The third proportional to 101,221.84 and 221,511.69 is: 484,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,221.84 : 221,511.69 = 221,511.69 : x
  2. Step 2: Convert to fraction form
    101,221.84/221,511.69 = 221,511.69/x
  3. Step 3: Cross multiply
    101,221.84x = 221,511.69 × 221,511.69
  4. Step 4: Simplify right side
    101,221.84x = 49,067,427,699.10
  5. Step 5: Solve for x
    x = 49,067,427,699.10/101,221.84
  6. Step 6: Final answer
    x = 484,751.37

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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.