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Finding the Third Proportional to 100,896.33 and 221,472.28

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Solution

The third proportional to 100,896.33 and 221,472.28 is: 486,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.33 : 221,472.28 = 221,472.28 : x
  2. Step 2: Convert to fraction form
    100,896.33/221,472.28 = 221,472.28/x
  3. Step 3: Cross multiply
    100,896.33x = 221,472.28 × 221,472.28
  4. Step 4: Simplify right side
    100,896.33x = 49,049,971,362.08
  5. Step 5: Solve for x
    x = 49,049,971,362.08/100,896.33
  6. Step 6: Final answer
    x = 486,142.28

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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.