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Finding the Third Proportional to 92,977.50 and 203,235

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Solution

The third proportional to 92,977.50 and 203,235 is: 444,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,977.50 : 203,235 = 203,235 : x
  2. Step 2: Convert to fraction form
    92,977.50/203,235 = 203,235/x
  3. Step 3: Cross multiply
    92,977.50x = 203,235 × 203,235
  4. Step 4: Simplify right side
    92,977.50x = 41,304,465,225
  5. Step 5: Solve for x
    x = 41,304,465,225/92,977.50
  6. Step 6: Final answer
    x = 444,241.51

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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.