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Finding the Third Proportional to 92,691 and 203,429.25

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Solution

The third proportional to 92,691 and 203,429.25 is: 446,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,691 : 203,429.25 = 203,429.25 : x
  2. Step 2: Convert to fraction form
    92,691/203,429.25 = 203,429.25/x
  3. Step 3: Cross multiply
    92,691x = 203,429.25 × 203,429.25
  4. Step 4: Simplify right side
    92,691x = 41,383,459,755.56
  5. Step 5: Solve for x
    x = 41,383,459,755.56/92,691
  6. Step 6: Final answer
    x = 446,466.86

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