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Finding the Third Proportional to 92,900 and 204,298

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Solution

The third proportional to 92,900 and 204,298 is: 449,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,900 : 204,298 = 204,298 : x
  2. Step 2: Convert to fraction form
    92,900/204,298 = 204,298/x
  3. Step 3: Cross multiply
    92,900x = 204,298 × 204,298
  4. Step 4: Simplify right side
    92,900x = 41,737,672,804
  5. Step 5: Solve for x
    x = 41,737,672,804/92,900
  6. Step 6: Final answer
    x = 449,275.27

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