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Finding the Third Proportional to 94,113 and 206,884

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Solution

The third proportional to 94,113 and 206,884 is: 454,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,113 : 206,884 = 206,884 : x
  2. Step 2: Convert to fraction form
    94,113/206,884 = 206,884/x
  3. Step 3: Cross multiply
    94,113x = 206,884 × 206,884
  4. Step 4: Simplify right side
    94,113x = 42,800,989,456
  5. Step 5: Solve for x
    x = 42,800,989,456/94,113
  6. Step 6: Final answer
    x = 454,782.97

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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.