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Finding the Third Proportional to 92,691 and 202,383

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Solution

The third proportional to 92,691 and 202,383 is: 441,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,691 : 202,383 = 202,383 : x
  2. Step 2: Convert to fraction form
    92,691/202,383 = 202,383/x
  3. Step 3: Cross multiply
    92,691x = 202,383 × 202,383
  4. Step 4: Simplify right side
    92,691x = 40,958,878,689
  5. Step 5: Solve for x
    x = 40,958,878,689/92,691
  6. Step 6: Final answer
    x = 441,886.25

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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.