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Finding the Third Proportional to 92,113 and 199,993

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Solution

The third proportional to 92,113 and 199,993 is: 434,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113 : 199,993 = 199,993 : x
  2. Step 2: Convert to fraction form
    92,113/199,993 = 199,993/x
  3. Step 3: Cross multiply
    92,113x = 199,993 × 199,993
  4. Step 4: Simplify right side
    92,113x = 39,997,200,049
  5. Step 5: Solve for x
    x = 39,997,200,049/92,113
  6. Step 6: Final answer
    x = 434,218.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.