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Finding the Third Proportional to 40,200.75 and 88,296.75

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Solution

The third proportional to 40,200.75 and 88,296.75 is: 193,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200.75 : 88,296.75 = 88,296.75 : x
  2. Step 2: Convert to fraction form
    40,200.75/88,296.75 = 88,296.75/x
  3. Step 3: Cross multiply
    40,200.75x = 88,296.75 × 88,296.75
  4. Step 4: Simplify right side
    40,200.75x = 7,796,316,060.56
  5. Step 5: Solve for x
    x = 7,796,316,060.56/40,200.75
  6. Step 6: Final answer
    x = 193,934.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.