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Finding the Third Proportional to 40,221 and 88,218

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Solution

The third proportional to 40,221 and 88,218 is: 193,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221 : 88,218 = 88,218 : x
  2. Step 2: Convert to fraction form
    40,221/88,218 = 88,218/x
  3. Step 3: Cross multiply
    40,221x = 88,218 × 88,218
  4. Step 4: Simplify right side
    40,221x = 7,782,415,524
  5. Step 5: Solve for x
    x = 7,782,415,524/40,221
  6. Step 6: Final answer
    x = 193,491.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.