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Finding the Third Proportional to 133,093.13 and 206,200.69

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Solution

The third proportional to 133,093.13 and 206,200.69 is: 319,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,093.13 : 206,200.69 = 206,200.69 : x
  2. Step 2: Convert to fraction form
    133,093.13/206,200.69 = 206,200.69/x
  3. Step 3: Cross multiply
    133,093.13x = 206,200.69 × 206,200.69
  4. Step 4: Simplify right side
    133,093.13x = 42,518,723,525.47
  5. Step 5: Solve for x
    x = 42,518,723,525.47/133,093.13
  6. Step 6: Final answer
    x = 319,465.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.