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Finding the Third Proportional to 91,671 and 203,025.38

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Solution

The third proportional to 91,671 and 203,025.38 is: 449,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,671 : 203,025.38 = 203,025.38 : x
  2. Step 2: Convert to fraction form
    91,671/203,025.38 = 203,025.38/x
  3. Step 3: Cross multiply
    91,671x = 203,025.38 × 203,025.38
  4. Step 4: Simplify right side
    91,671x = 41,219,302,893.89
  5. Step 5: Solve for x
    x = 41,219,302,893.89/91,671
  6. Step 6: Final answer
    x = 449,643.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.