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Finding the Third Proportional to 90,777.59 and 193,908.30

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Solution

The third proportional to 90,777.59 and 193,908.30 is: 414,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777.59 : 193,908.30 = 193,908.30 : x
  2. Step 2: Convert to fraction form
    90,777.59/193,908.30 = 193,908.30/x
  3. Step 3: Cross multiply
    90,777.59x = 193,908.30 × 193,908.30
  4. Step 4: Simplify right side
    90,777.59x = 37,600,430,626.78
  5. Step 5: Solve for x
    x = 37,600,430,626.78/90,777.59
  6. Step 6: Final answer
    x = 414,203.91

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Why These Related Problems?

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