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Finding the Third Proportional to 90,898 and 186,203

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Solution

The third proportional to 90,898 and 186,203 is: 381,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,898 : 186,203 = 186,203 : x
  2. Step 2: Convert to fraction form
    90,898/186,203 = 186,203/x
  3. Step 3: Cross multiply
    90,898x = 186,203 × 186,203
  4. Step 4: Simplify right side
    90,898x = 34,671,557,209
  5. Step 5: Solve for x
    x = 34,671,557,209/90,898
  6. Step 6: Final answer
    x = 381,433.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.