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Finding the Third Proportional to 88,163.63 and 208,086.75

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Solution

The third proportional to 88,163.63 and 208,086.75 is: 491,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,163.63 : 208,086.75 = 208,086.75 : x
  2. Step 2: Convert to fraction form
    88,163.63/208,086.75 = 208,086.75/x
  3. Step 3: Cross multiply
    88,163.63x = 208,086.75 × 208,086.75
  4. Step 4: Simplify right side
    88,163.63x = 43,300,095,525.56
  5. Step 5: Solve for x
    x = 43,300,095,525.56/88,163.63
  6. Step 6: Final answer
    x = 491,133.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.