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Finding the Third Proportional to 50,383.13 and 109,976.06

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Solution

The third proportional to 50,383.13 and 109,976.06 is: 240,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,383.13 : 109,976.06 = 109,976.06 : x
  2. Step 2: Convert to fraction form
    50,383.13/109,976.06 = 109,976.06/x
  3. Step 3: Cross multiply
    50,383.13x = 109,976.06 × 109,976.06
  4. Step 4: Simplify right side
    50,383.13x = 12,094,734,323.00
  5. Step 5: Solve for x
    x = 12,094,734,323.00/50,383.13
  6. Step 6: Final answer
    x = 240,055.26

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