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Finding the Third Proportional to 50,239.13 and 100,477.69

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Solution

The third proportional to 50,239.13 and 100,477.69 is: 200,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,239.13 : 100,477.69 = 100,477.69 : x
  2. Step 2: Convert to fraction form
    50,239.13/100,477.69 = 100,477.69/x
  3. Step 3: Cross multiply
    50,239.13x = 100,477.69 × 100,477.69
  4. Step 4: Simplify right side
    50,239.13x = 10,095,765,685.35
  5. Step 5: Solve for x
    x = 10,095,765,685.35/50,239.13
  6. Step 6: Final answer
    x = 200,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.