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Finding the Third Proportional to 93,990 and 206,672

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Solution

The third proportional to 93,990 and 206,672 is: 454,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,990 : 206,672 = 206,672 : x
  2. Step 2: Convert to fraction form
    93,990/206,672 = 206,672/x
  3. Step 3: Cross multiply
    93,990x = 206,672 × 206,672
  4. Step 4: Simplify right side
    93,990x = 42,713,315,584
  5. Step 5: Solve for x
    x = 42,713,315,584/93,990
  6. Step 6: Final answer
    x = 454,445.32

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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.