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Finding the Third Proportional to 90,903 and 186,213

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Solution

The third proportional to 90,903 and 186,213 is: 381,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,903 : 186,213 = 186,213 : x
  2. Step 2: Convert to fraction form
    90,903/186,213 = 186,213/x
  3. Step 3: Cross multiply
    90,903x = 186,213 × 186,213
  4. Step 4: Simplify right side
    90,903x = 34,675,281,369
  5. Step 5: Solve for x
    x = 34,675,281,369/90,903
  6. Step 6: Final answer
    x = 381,453.65

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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.