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Finding the Third Proportional to 50,460.47 and 106,149.23

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Solution

The third proportional to 50,460.47 and 106,149.23 is: 223,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460.47 : 106,149.23 = 106,149.23 : x
  2. Step 2: Convert to fraction form
    50,460.47/106,149.23 = 106,149.23/x
  3. Step 3: Cross multiply
    50,460.47x = 106,149.23 × 106,149.23
  4. Step 4: Simplify right side
    50,460.47x = 11,267,659,958.40
  5. Step 5: Solve for x
    x = 11,267,659,958.40/50,460.47
  6. Step 6: Final answer
    x = 223,296.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.