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Finding the Third Proportional to 98,824.50 and 212,661

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Solution

The third proportional to 98,824.50 and 212,661 is: 457,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,824.50 : 212,661 = 212,661 : x
  2. Step 2: Convert to fraction form
    98,824.50/212,661 = 212,661/x
  3. Step 3: Cross multiply
    98,824.50x = 212,661 × 212,661
  4. Step 4: Simplify right side
    98,824.50x = 45,224,700,921
  5. Step 5: Solve for x
    x = 45,224,700,921/98,824.50
  6. Step 6: Final answer
    x = 457,626.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.