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Finding the Third Proportional to 95,301.56 and 203,269.50

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Solution

The third proportional to 95,301.56 and 203,269.50 is: 433,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,301.56 : 203,269.50 = 203,269.50 : x
  2. Step 2: Convert to fraction form
    95,301.56/203,269.50 = 203,269.50/x
  3. Step 3: Cross multiply
    95,301.56x = 203,269.50 × 203,269.50
  4. Step 4: Simplify right side
    95,301.56x = 41,318,489,630.25
  5. Step 5: Solve for x
    x = 41,318,489,630.25/95,301.56
  6. Step 6: Final answer
    x = 433,555.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.