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Finding the Third Proportional to 90,205.31 and 193,735.97

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Solution

The third proportional to 90,205.31 and 193,735.97 is: 416,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,205.31 : 193,735.97 = 193,735.97 : x
  2. Step 2: Convert to fraction form
    90,205.31/193,735.97 = 193,735.97/x
  3. Step 3: Cross multiply
    90,205.31x = 193,735.97 × 193,735.97
  4. Step 4: Simplify right side
    90,205.31x = 37,533,625,587.50
  5. Step 5: Solve for x
    x = 37,533,625,587.50/90,205.31
  6. Step 6: Final answer
    x = 416,091.08

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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.