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Finding the Third Proportional to 73,794.64 and 157,847.80

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Solution

The third proportional to 73,794.64 and 157,847.80 is: 337,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,794.64 : 157,847.80 = 157,847.80 : x
  2. Step 2: Convert to fraction form
    73,794.64/157,847.80 = 157,847.80/x
  3. Step 3: Cross multiply
    73,794.64x = 157,847.80 × 157,847.80
  4. Step 4: Simplify right side
    73,794.64x = 24,915,928,211.48
  5. Step 5: Solve for x
    x = 24,915,928,211.48/73,794.64
  6. Step 6: Final answer
    x = 337,638.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.