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Finding the Third Proportional to 94,100 and 206,632

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Solution

The third proportional to 94,100 and 206,632 is: 453,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,100 : 206,632 = 206,632 : x
  2. Step 2: Convert to fraction form
    94,100/206,632 = 206,632/x
  3. Step 3: Cross multiply
    94,100x = 206,632 × 206,632
  4. Step 4: Simplify right side
    94,100x = 42,696,783,424
  5. Step 5: Solve for x
    x = 42,696,783,424/94,100
  6. Step 6: Final answer
    x = 453,738.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.