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Finding the Third Proportional to 50,091.70 and 104,316.06

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Solution

The third proportional to 50,091.70 and 104,316.06 is: 217,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091.70 : 104,316.06 = 104,316.06 : x
  2. Step 2: Convert to fraction form
    50,091.70/104,316.06 = 104,316.06/x
  3. Step 3: Cross multiply
    50,091.70x = 104,316.06 × 104,316.06
  4. Step 4: Simplify right side
    50,091.70x = 10,881,839,469.31
  5. Step 5: Solve for x
    x = 10,881,839,469.31/50,091.70
  6. Step 6: Final answer
    x = 217,238.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.