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Finding the Third Proportional to 46,065.38 and 100,468.69

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Solution

The third proportional to 46,065.38 and 100,468.69 is: 219,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,065.38 : 100,468.69 = 100,468.69 : x
  2. Step 2: Convert to fraction form
    46,065.38/100,468.69 = 100,468.69/x
  3. Step 3: Cross multiply
    46,065.38x = 100,468.69 × 100,468.69
  4. Step 4: Simplify right side
    46,065.38x = 10,093,957,167.97
  5. Step 5: Solve for x
    x = 10,093,957,167.97/46,065.38
  6. Step 6: Final answer
    x = 219,122.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.