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Finding the Third Proportional to 88,898 and 193,348

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Solution

The third proportional to 88,898 and 193,348 is: 420,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,898 : 193,348 = 193,348 : x
  2. Step 2: Convert to fraction form
    88,898/193,348 = 193,348/x
  3. Step 3: Cross multiply
    88,898x = 193,348 × 193,348
  4. Step 4: Simplify right side
    88,898x = 37,383,449,104
  5. Step 5: Solve for x
    x = 37,383,449,104/88,898
  6. Step 6: Final answer
    x = 420,520.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.