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Finding the Third Proportional to 90,907 and 186,221

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Solution

The third proportional to 90,907 and 186,221 is: 381,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,907 : 186,221 = 186,221 : x
  2. Step 2: Convert to fraction form
    90,907/186,221 = 186,221/x
  3. Step 3: Cross multiply
    90,907x = 186,221 × 186,221
  4. Step 4: Simplify right side
    90,907x = 34,678,260,841
  5. Step 5: Solve for x
    x = 34,678,260,841/90,907
  6. Step 6: Final answer
    x = 381,469.64

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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.