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Finding the Third Proportional to 100,825.50 and 221,307

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Solution

The third proportional to 100,825.50 and 221,307 is: 485,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825.50 : 221,307 = 221,307 : x
  2. Step 2: Convert to fraction form
    100,825.50/221,307 = 221,307/x
  3. Step 3: Cross multiply
    100,825.50x = 221,307 × 221,307
  4. Step 4: Simplify right side
    100,825.50x = 48,976,788,249
  5. Step 5: Solve for x
    x = 48,976,788,249/100,825.50
  6. Step 6: Final answer
    x = 485,757.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.