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Finding the Third Proportional to 132,609.66 and 203,189.77

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Solution

The third proportional to 132,609.66 and 203,189.77 is: 311,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,609.66 : 203,189.77 = 203,189.77 : x
  2. Step 2: Convert to fraction form
    132,609.66/203,189.77 = 203,189.77/x
  3. Step 3: Cross multiply
    132,609.66x = 203,189.77 × 203,189.77
  4. Step 4: Simplify right side
    132,609.66x = 41,286,080,854.74
  5. Step 5: Solve for x
    x = 41,286,080,854.74/132,609.66
  6. Step 6: Final answer
    x = 311,335.40

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