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Finding the Third Proportional to 92,276.75 and 201,229.50

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Solution

The third proportional to 92,276.75 and 201,229.50 is: 438,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276.75 : 201,229.50 = 201,229.50 : x
  2. Step 2: Convert to fraction form
    92,276.75/201,229.50 = 201,229.50/x
  3. Step 3: Cross multiply
    92,276.75x = 201,229.50 × 201,229.50
  4. Step 4: Simplify right side
    92,276.75x = 40,493,311,670.25
  5. Step 5: Solve for x
    x = 40,493,311,670.25/92,276.75
  6. Step 6: Final answer
    x = 438,824.64

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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.