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Finding the Third Proportional to 109,198 and 230,060

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Solution

The third proportional to 109,198 and 230,060 is: 484,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,198 : 230,060 = 230,060 : x
  2. Step 2: Convert to fraction form
    109,198/230,060 = 230,060/x
  3. Step 3: Cross multiply
    109,198x = 230,060 × 230,060
  4. Step 4: Simplify right side
    109,198x = 52,927,603,600
  5. Step 5: Solve for x
    x = 52,927,603,600/109,198
  6. Step 6: Final answer
    x = 484,693.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.