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Finding the Third Proportional to 92,685 and 203,802

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Solution

The third proportional to 92,685 and 203,802 is: 448,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,685 : 203,802 = 203,802 : x
  2. Step 2: Convert to fraction form
    92,685/203,802 = 203,802/x
  3. Step 3: Cross multiply
    92,685x = 203,802 × 203,802
  4. Step 4: Simplify right side
    92,685x = 41,535,255,204
  5. Step 5: Solve for x
    x = 41,535,255,204/92,685
  6. Step 6: Final answer
    x = 448,133.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.