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Finding the Third Proportional to 93,851 and 221,452

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Solution

The third proportional to 93,851 and 221,452 is: 522,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,851 : 221,452 = 221,452 : x
  2. Step 2: Convert to fraction form
    93,851/221,452 = 221,452/x
  3. Step 3: Cross multiply
    93,851x = 221,452 × 221,452
  4. Step 4: Simplify right side
    93,851x = 49,040,988,304
  5. Step 5: Solve for x
    x = 49,040,988,304/93,851
  6. Step 6: Final answer
    x = 522,540.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.