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Finding the Third Proportional to 95,823 and 201,577

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Solution

The third proportional to 95,823 and 201,577 is: 424,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823 : 201,577 = 201,577 : x
  2. Step 2: Convert to fraction form
    95,823/201,577 = 201,577/x
  3. Step 3: Cross multiply
    95,823x = 201,577 × 201,577
  4. Step 4: Simplify right side
    95,823x = 40,633,286,929
  5. Step 5: Solve for x
    x = 40,633,286,929/95,823
  6. Step 6: Final answer
    x = 424,045.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.