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Finding the Third Proportional to 109,018 and 233,797

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Solution

The third proportional to 109,018 and 233,797 is: 501,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,018 : 233,797 = 233,797 : x
  2. Step 2: Convert to fraction form
    109,018/233,797 = 233,797/x
  3. Step 3: Cross multiply
    109,018x = 233,797 × 233,797
  4. Step 4: Simplify right side
    109,018x = 54,661,037,209
  5. Step 5: Solve for x
    x = 54,661,037,209/109,018
  6. Step 6: Final answer
    x = 501,394.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.