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Finding the Third Proportional to 95,044.50 and 201,699

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Solution

The third proportional to 95,044.50 and 201,699 is: 428,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,044.50 : 201,699 = 201,699 : x
  2. Step 2: Convert to fraction form
    95,044.50/201,699 = 201,699/x
  3. Step 3: Cross multiply
    95,044.50x = 201,699 × 201,699
  4. Step 4: Simplify right side
    95,044.50x = 40,682,486,601
  5. Step 5: Solve for x
    x = 40,682,486,601/95,044.50
  6. Step 6: Final answer
    x = 428,036.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.