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Finding the Third Proportional to 48,297.56 and 103,736.63

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Solution

The third proportional to 48,297.56 and 103,736.63 is: 222,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,297.56 : 103,736.63 = 103,736.63 : x
  2. Step 2: Convert to fraction form
    48,297.56/103,736.63 = 103,736.63/x
  3. Step 3: Cross multiply
    48,297.56x = 103,736.63 × 103,736.63
  4. Step 4: Simplify right side
    48,297.56x = 10,761,287,366.39
  5. Step 5: Solve for x
    x = 10,761,287,366.39/48,297.56
  6. Step 6: Final answer
    x = 222,812.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.