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Finding the Third Proportional to 103,616 and 221,932

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Solution

The third proportional to 103,616 and 221,932 is: 475,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 221,932 = 221,932 : x
  2. Step 2: Convert to fraction form
    103,616/221,932 = 221,932/x
  3. Step 3: Cross multiply
    103,616x = 221,932 × 221,932
  4. Step 4: Simplify right side
    103,616x = 49,253,812,624
  5. Step 5: Solve for x
    x = 49,253,812,624/103,616
  6. Step 6: Final answer
    x = 475,349.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.