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Finding the Third Proportional to 108,991.13 and 166,311

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Solution

The third proportional to 108,991.13 and 166,311 is: 253,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,991.13 : 166,311 = 166,311 : x
  2. Step 2: Convert to fraction form
    108,991.13/166,311 = 166,311/x
  3. Step 3: Cross multiply
    108,991.13x = 166,311 × 166,311
  4. Step 4: Simplify right side
    108,991.13x = 27,659,348,721
  5. Step 5: Solve for x
    x = 27,659,348,721/108,991.13
  6. Step 6: Final answer
    x = 253,776.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.