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Finding the Third Proportional to 90,902 and 186,211

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Solution

The third proportional to 90,902 and 186,211 is: 381,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,902 : 186,211 = 186,211 : x
  2. Step 2: Convert to fraction form
    90,902/186,211 = 186,211/x
  3. Step 3: Cross multiply
    90,902x = 186,211 × 186,211
  4. Step 4: Simplify right side
    90,902x = 34,674,536,521
  5. Step 5: Solve for x
    x = 34,674,536,521/90,902
  6. Step 6: Final answer
    x = 381,449.65

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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.