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Finding the Third Proportional to 92,844 and 202,500

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Solution

The third proportional to 92,844 and 202,500 is: 441,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,844 : 202,500 = 202,500 : x
  2. Step 2: Convert to fraction form
    92,844/202,500 = 202,500/x
  3. Step 3: Cross multiply
    92,844x = 202,500 × 202,500
  4. Step 4: Simplify right side
    92,844x = 41,006,250,000
  5. Step 5: Solve for x
    x = 41,006,250,000/92,844
  6. Step 6: Final answer
    x = 441,668.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.