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Finding the Third Proportional to 92,183.25 and 201,052.50

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Solution

The third proportional to 92,183.25 and 201,052.50 is: 438,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,183.25 : 201,052.50 = 201,052.50 : x
  2. Step 2: Convert to fraction form
    92,183.25/201,052.50 = 201,052.50/x
  3. Step 3: Cross multiply
    92,183.25x = 201,052.50 × 201,052.50
  4. Step 4: Simplify right side
    92,183.25x = 40,422,107,756.25
  5. Step 5: Solve for x
    x = 40,422,107,756.25/92,183.25
  6. Step 6: Final answer
    x = 438,497.32

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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.