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Finding the Third Proportional to 100,974 and 221,628

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Solution

The third proportional to 100,974 and 221,628 is: 486,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,974 : 221,628 = 221,628 : x
  2. Step 2: Convert to fraction form
    100,974/221,628 = 221,628/x
  3. Step 3: Cross multiply
    100,974x = 221,628 × 221,628
  4. Step 4: Simplify right side
    100,974x = 49,118,970,384
  5. Step 5: Solve for x
    x = 49,118,970,384/100,974
  6. Step 6: Final answer
    x = 486,451.66

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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.