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Finding the Third Proportional to 48,901.92 and 104,263.03

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Solution

The third proportional to 48,901.92 and 104,263.03 is: 222,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901.92 : 104,263.03 = 104,263.03 : x
  2. Step 2: Convert to fraction form
    48,901.92/104,263.03 = 104,263.03/x
  3. Step 3: Cross multiply
    48,901.92x = 104,263.03 × 104,263.03
  4. Step 4: Simplify right side
    48,901.92x = 10,870,779,685.44
  5. Step 5: Solve for x
    x = 10,870,779,685.44/48,901.92
  6. Step 6: Final answer
    x = 222,297.60

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Why These Related Problems?

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