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Finding the Third Proportional to 95,813.67 and 201,558.53

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Solution

The third proportional to 95,813.67 and 201,558.53 is: 424,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,813.67 : 201,558.53 = 201,558.53 : x
  2. Step 2: Convert to fraction form
    95,813.67/201,558.53 = 201,558.53/x
  3. Step 3: Cross multiply
    95,813.67x = 201,558.53 × 201,558.53
  4. Step 4: Simplify right side
    95,813.67x = 40,625,842,306.99
  5. Step 5: Solve for x
    x = 40,625,842,306.99/95,813.67
  6. Step 6: Final answer
    x = 424,008.85

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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.