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Finding the Third Proportional to 48,549.59 and 103,845.38

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Solution

The third proportional to 48,549.59 and 103,845.38 is: 222,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549.59 : 103,845.38 = 103,845.38 : x
  2. Step 2: Convert to fraction form
    48,549.59/103,845.38 = 103,845.38/x
  3. Step 3: Cross multiply
    48,549.59x = 103,845.38 × 103,845.38
  4. Step 4: Simplify right side
    48,549.59x = 10,783,861,908.89
  5. Step 5: Solve for x
    x = 10,783,861,908.89/48,549.59
  6. Step 6: Final answer
    x = 222,120.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.