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Finding the Third Proportional to 98,611.25 and 215,980.75

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Solution

The third proportional to 98,611.25 and 215,980.75 is: 473,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,611.25 : 215,980.75 = 215,980.75 : x
  2. Step 2: Convert to fraction form
    98,611.25/215,980.75 = 215,980.75/x
  3. Step 3: Cross multiply
    98,611.25x = 215,980.75 × 215,980.75
  4. Step 4: Simplify right side
    98,611.25x = 46,647,684,370.56
  5. Step 5: Solve for x
    x = 46,647,684,370.56/98,611.25
  6. Step 6: Final answer
    x = 473,046.27

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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.