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Finding the Third Proportional to 100,905.75 and 214,110

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Solution

The third proportional to 100,905.75 and 214,110 is: 454,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.75 : 214,110 = 214,110 : x
  2. Step 2: Convert to fraction form
    100,905.75/214,110 = 214,110/x
  3. Step 3: Cross multiply
    100,905.75x = 214,110 × 214,110
  4. Step 4: Simplify right side
    100,905.75x = 45,843,092,100
  5. Step 5: Solve for x
    x = 45,843,092,100/100,905.75
  6. Step 6: Final answer
    x = 454,315.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.