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Finding the Third Proportional to 47,389.50 and 105,286.50

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Solution

The third proportional to 47,389.50 and 105,286.50 is: 233,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,389.50 : 105,286.50 = 105,286.50 : x
  2. Step 2: Convert to fraction form
    47,389.50/105,286.50 = 105,286.50/x
  3. Step 3: Cross multiply
    47,389.50x = 105,286.50 × 105,286.50
  4. Step 4: Simplify right side
    47,389.50x = 11,085,247,082.25
  5. Step 5: Solve for x
    x = 11,085,247,082.25/47,389.50
  6. Step 6: Final answer
    x = 233,917.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.