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Finding the Third Proportional to 48,016.97 and 104,546.53

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Solution

The third proportional to 48,016.97 and 104,546.53 is: 227,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016.97 : 104,546.53 = 104,546.53 : x
  2. Step 2: Convert to fraction form
    48,016.97/104,546.53 = 104,546.53/x
  3. Step 3: Cross multiply
    48,016.97x = 104,546.53 × 104,546.53
  4. Step 4: Simplify right side
    48,016.97x = 10,929,977,196.41
  5. Step 5: Solve for x
    x = 10,929,977,196.41/48,016.97
  6. Step 6: Final answer
    x = 227,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.