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Finding the Third Proportional to 90,898 and 186,201

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Solution

The third proportional to 90,898 and 186,201 is: 381,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,898 : 186,201 = 186,201 : x
  2. Step 2: Convert to fraction form
    90,898/186,201 = 186,201/x
  3. Step 3: Cross multiply
    90,898x = 186,201 × 186,201
  4. Step 4: Simplify right side
    90,898x = 34,670,812,401
  5. Step 5: Solve for x
    x = 34,670,812,401/90,898
  6. Step 6: Final answer
    x = 381,425.47

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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.