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Finding the Third Proportional to 92,691 and 203,431.50

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Solution

The third proportional to 92,691 and 203,431.50 is: 446,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,691 : 203,431.50 = 203,431.50 : x
  2. Step 2: Convert to fraction form
    92,691/203,431.50 = 203,431.50/x
  3. Step 3: Cross multiply
    92,691x = 203,431.50 × 203,431.50
  4. Step 4: Simplify right side
    92,691x = 41,384,375,192.25
  5. Step 5: Solve for x
    x = 41,384,375,192.25/92,691
  6. Step 6: Final answer
    x = 446,476.74

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Why These Related Problems?

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