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Finding the Third Proportional to 48,296.25 and 104,155.88

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Solution

The third proportional to 48,296.25 and 104,155.88 is: 224,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.25 : 104,155.88 = 104,155.88 : x
  2. Step 2: Convert to fraction form
    48,296.25/104,155.88 = 104,155.88/x
  3. Step 3: Cross multiply
    48,296.25x = 104,155.88 × 104,155.88
  4. Step 4: Simplify right side
    48,296.25x = 10,848,446,297.02
  5. Step 5: Solve for x
    x = 10,848,446,297.02/48,296.25
  6. Step 6: Final answer
    x = 224,622.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.