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Finding the Third Proportional to 100,824.75 and 221,301

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Solution

The third proportional to 100,824.75 and 221,301 is: 485,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,824.75 : 221,301 = 221,301 : x
  2. Step 2: Convert to fraction form
    100,824.75/221,301 = 221,301/x
  3. Step 3: Cross multiply
    100,824.75x = 221,301 × 221,301
  4. Step 4: Simplify right side
    100,824.75x = 48,974,132,601
  5. Step 5: Solve for x
    x = 48,974,132,601/100,824.75
  6. Step 6: Final answer
    x = 485,735.22

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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.