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Finding the Third Proportional to 47,270.25 and 100,797.75

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Solution

The third proportional to 47,270.25 and 100,797.75 is: 214,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270.25 : 100,797.75 = 100,797.75 : x
  2. Step 2: Convert to fraction form
    47,270.25/100,797.75 = 100,797.75/x
  3. Step 3: Cross multiply
    47,270.25x = 100,797.75 × 100,797.75
  4. Step 4: Simplify right side
    47,270.25x = 10,160,186,405.06
  5. Step 5: Solve for x
    x = 10,160,186,405.06/47,270.25
  6. Step 6: Final answer
    x = 214,938.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.