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Finding the Third Proportional to 132,103.69 and 204,595.03

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Solution

The third proportional to 132,103.69 and 204,595.03 is: 316,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,103.69 : 204,595.03 = 204,595.03 : x
  2. Step 2: Convert to fraction form
    132,103.69/204,595.03 = 204,595.03/x
  3. Step 3: Cross multiply
    132,103.69x = 204,595.03 × 204,595.03
  4. Step 4: Simplify right side
    132,103.69x = 41,859,126,812.19
  5. Step 5: Solve for x
    x = 41,859,126,812.19/132,103.69
  6. Step 6: Final answer
    x = 316,865.70

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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.