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Finding the Third Proportional to 92,198.25 and 201,151.75

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Solution

The third proportional to 92,198.25 and 201,151.75 is: 438,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.25 : 201,151.75 = 201,151.75 : x
  2. Step 2: Convert to fraction form
    92,198.25/201,151.75 = 201,151.75/x
  3. Step 3: Cross multiply
    92,198.25x = 201,151.75 × 201,151.75
  4. Step 4: Simplify right side
    92,198.25x = 40,462,026,528.06
  5. Step 5: Solve for x
    x = 40,462,026,528.06/92,198.25
  6. Step 6: Final answer
    x = 438,858.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.