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Finding the Third Proportional to 98,722.55 and 213,205.92

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Solution

The third proportional to 98,722.55 and 213,205.92 is: 460,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722.55 : 213,205.92 = 213,205.92 : x
  2. Step 2: Convert to fraction form
    98,722.55/213,205.92 = 213,205.92/x
  3. Step 3: Cross multiply
    98,722.55x = 213,205.92 × 213,205.92
  4. Step 4: Simplify right side
    98,722.55x = 45,456,765,122.57
  5. Step 5: Solve for x
    x = 45,456,765,122.57/98,722.55
  6. Step 6: Final answer
    x = 460,449.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.