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Finding the Third Proportional to 104,044.50 and 221,049

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Solution

The third proportional to 104,044.50 and 221,049 is: 469,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,044.50 : 221,049 = 221,049 : x
  2. Step 2: Convert to fraction form
    104,044.50/221,049 = 221,049/x
  3. Step 3: Cross multiply
    104,044.50x = 221,049 × 221,049
  4. Step 4: Simplify right side
    104,044.50x = 48,862,660,401
  5. Step 5: Solve for x
    x = 48,862,660,401/104,044.50
  6. Step 6: Final answer
    x = 469,632.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.