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Finding the Third Proportional to 101,910.50 and 211,021

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Solution

The third proportional to 101,910.50 and 211,021 is: 436,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910.50 : 211,021 = 211,021 : x
  2. Step 2: Convert to fraction form
    101,910.50/211,021 = 211,021/x
  3. Step 3: Cross multiply
    101,910.50x = 211,021 × 211,021
  4. Step 4: Simplify right side
    101,910.50x = 44,529,862,441
  5. Step 5: Solve for x
    x = 44,529,862,441/101,910.50
  6. Step 6: Final answer
    x = 436,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.