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Finding the Third Proportional to 88,811 and 190,218

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Solution

The third proportional to 88,811 and 190,218 is: 407,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,811 : 190,218 = 190,218 : x
  2. Step 2: Convert to fraction form
    88,811/190,218 = 190,218/x
  3. Step 3: Cross multiply
    88,811x = 190,218 × 190,218
  4. Step 4: Simplify right side
    88,811x = 36,182,887,524
  5. Step 5: Solve for x
    x = 36,182,887,524/88,811
  6. Step 6: Final answer
    x = 407,414.48

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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.