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Finding the Third Proportional to 95,062.50 and 200,817

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Solution

The third proportional to 95,062.50 and 200,817 is: 424,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,062.50 : 200,817 = 200,817 : x
  2. Step 2: Convert to fraction form
    95,062.50/200,817 = 200,817/x
  3. Step 3: Cross multiply
    95,062.50x = 200,817 × 200,817
  4. Step 4: Simplify right side
    95,062.50x = 40,327,467,489
  5. Step 5: Solve for x
    x = 40,327,467,489/95,062.50
  6. Step 6: Final answer
    x = 424,220.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.