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Finding the Third Proportional to 92,198 and 187,778

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Solution

The third proportional to 92,198 and 187,778 is: 382,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198 : 187,778 = 187,778 : x
  2. Step 2: Convert to fraction form
    92,198/187,778 = 187,778/x
  3. Step 3: Cross multiply
    92,198x = 187,778 × 187,778
  4. Step 4: Simplify right side
    92,198x = 35,260,577,284
  5. Step 5: Solve for x
    x = 35,260,577,284/92,198
  6. Step 6: Final answer
    x = 382,444.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.