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Finding the Third Proportional to 92,644 and 202,237

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Solution

The third proportional to 92,644 and 202,237 is: 441,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,644 : 202,237 = 202,237 : x
  2. Step 2: Convert to fraction form
    92,644/202,237 = 202,237/x
  3. Step 3: Cross multiply
    92,644x = 202,237 × 202,237
  4. Step 4: Simplify right side
    92,644x = 40,899,804,169
  5. Step 5: Solve for x
    x = 40,899,804,169/92,644
  6. Step 6: Final answer
    x = 441,472.78

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Why These Related Problems?

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