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Finding the Third Proportional to 131,900.63 and 204,544.13

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Solution

The third proportional to 131,900.63 and 204,544.13 is: 317,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,900.63 : 204,544.13 = 204,544.13 : x
  2. Step 2: Convert to fraction form
    131,900.63/204,544.13 = 204,544.13/x
  3. Step 3: Cross multiply
    131,900.63x = 204,544.13 × 204,544.13
  4. Step 4: Simplify right side
    131,900.63x = 41,838,299,072.02
  5. Step 5: Solve for x
    x = 41,838,299,072.02/131,900.63
  6. Step 6: Final answer
    x = 317,195.61

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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.