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Finding the Third Proportional to 92,198 and 139,144.50

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Solution

The third proportional to 92,198 and 139,144.50 is: 209,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198 : 139,144.50 = 139,144.50 : x
  2. Step 2: Convert to fraction form
    92,198/139,144.50 = 139,144.50/x
  3. Step 3: Cross multiply
    92,198x = 139,144.50 × 139,144.50
  4. Step 4: Simplify right side
    92,198x = 19,361,191,880.25
  5. Step 5: Solve for x
    x = 19,361,191,880.25/92,198
  6. Step 6: Final answer
    x = 209,995.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.