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Finding the Third Proportional to 50,306.63 and 104,744.25

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Solution

The third proportional to 50,306.63 and 104,744.25 is: 218,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,306.63 : 104,744.25 = 104,744.25 : x
  2. Step 2: Convert to fraction form
    50,306.63/104,744.25 = 104,744.25/x
  3. Step 3: Cross multiply
    50,306.63x = 104,744.25 × 104,744.25
  4. Step 4: Simplify right side
    50,306.63x = 10,971,357,908.06
  5. Step 5: Solve for x
    x = 10,971,357,908.06/50,306.63
  6. Step 6: Final answer
    x = 218,089.72

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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.