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Finding the Third Proportional to 92,998 and 203,383

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Solution

The third proportional to 92,998 and 203,383 is: 444,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,998 : 203,383 = 203,383 : x
  2. Step 2: Convert to fraction form
    92,998/203,383 = 203,383/x
  3. Step 3: Cross multiply
    92,998x = 203,383 × 203,383
  4. Step 4: Simplify right side
    92,998x = 41,364,644,689
  5. Step 5: Solve for x
    x = 41,364,644,689/92,998
  6. Step 6: Final answer
    x = 444,790.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.