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Finding the Third Proportional to 94,759 and 206,221

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Solution

The third proportional to 94,759 and 206,221 is: 448,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,759 : 206,221 = 206,221 : x
  2. Step 2: Convert to fraction form
    94,759/206,221 = 206,221/x
  3. Step 3: Cross multiply
    94,759x = 206,221 × 206,221
  4. Step 4: Simplify right side
    94,759x = 42,527,100,841
  5. Step 5: Solve for x
    x = 42,527,100,841/94,759
  6. Step 6: Final answer
    x = 448,792.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.