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Finding the Third Proportional to 108,183 and 236,049

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Solution

The third proportional to 108,183 and 236,049 is: 515,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,183 : 236,049 = 236,049 : x
  2. Step 2: Convert to fraction form
    108,183/236,049 = 236,049/x
  3. Step 3: Cross multiply
    108,183x = 236,049 × 236,049
  4. Step 4: Simplify right side
    108,183x = 55,719,130,401
  5. Step 5: Solve for x
    x = 55,719,130,401/108,183
  6. Step 6: Final answer
    x = 515,045.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.