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Finding the Third Proportional to 109,207.13 and 167,200.88

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Solution

The third proportional to 109,207.13 and 167,200.88 is: 255,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,207.13 : 167,200.88 = 167,200.88 : x
  2. Step 2: Convert to fraction form
    109,207.13/167,200.88 = 167,200.88/x
  3. Step 3: Cross multiply
    109,207.13x = 167,200.88 × 167,200.88
  4. Step 4: Simplify right side
    109,207.13x = 27,956,132,600.77
  5. Step 5: Solve for x
    x = 27,956,132,600.77/109,207.13
  6. Step 6: Final answer
    x = 255,991.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.