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Finding the Third Proportional to 90,660.75 and 193,795.50

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Solution

The third proportional to 90,660.75 and 193,795.50 is: 414,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660.75 : 193,795.50 = 193,795.50 : x
  2. Step 2: Convert to fraction form
    90,660.75/193,795.50 = 193,795.50/x
  3. Step 3: Cross multiply
    90,660.75x = 193,795.50 × 193,795.50
  4. Step 4: Simplify right side
    90,660.75x = 37,556,695,820.25
  5. Step 5: Solve for x
    x = 37,556,695,820.25/90,660.75
  6. Step 6: Final answer
    x = 414,255.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.