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Finding the Third Proportional to 97,699.50 and 203,175

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Solution

The third proportional to 97,699.50 and 203,175 is: 422,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,699.50 : 203,175 = 203,175 : x
  2. Step 2: Convert to fraction form
    97,699.50/203,175 = 203,175/x
  3. Step 3: Cross multiply
    97,699.50x = 203,175 × 203,175
  4. Step 4: Simplify right side
    97,699.50x = 41,280,080,625
  5. Step 5: Solve for x
    x = 41,280,080,625/97,699.50
  6. Step 6: Final answer
    x = 422,520.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.