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Finding the Third Proportional to 93,949.88 and 219,257

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Solution

The third proportional to 93,949.88 and 219,257 is: 511,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,949.88 : 219,257 = 219,257 : x
  2. Step 2: Convert to fraction form
    93,949.88/219,257 = 219,257/x
  3. Step 3: Cross multiply
    93,949.88x = 219,257 × 219,257
  4. Step 4: Simplify right side
    93,949.88x = 48,073,632,049
  5. Step 5: Solve for x
    x = 48,073,632,049/93,949.88
  6. Step 6: Final answer
    x = 511,694.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.