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Finding the Third Proportional to 103,896 and 221,616

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Solution

The third proportional to 103,896 and 221,616 is: 472,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 221,616 = 221,616 : x
  2. Step 2: Convert to fraction form
    103,896/221,616 = 221,616/x
  3. Step 3: Cross multiply
    103,896x = 221,616 × 221,616
  4. Step 4: Simplify right side
    103,896x = 49,113,651,456
  5. Step 5: Solve for x
    x = 49,113,651,456/103,896
  6. Step 6: Final answer
    x = 472,719.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.