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Finding the Third Proportional to 19,996.88 and 46,294.03

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Solution

The third proportional to 19,996.88 and 46,294.03 is: 107,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996.88 : 46,294.03 = 46,294.03 : x
  2. Step 2: Convert to fraction form
    19,996.88/46,294.03 = 46,294.03/x
  3. Step 3: Cross multiply
    19,996.88x = 46,294.03 × 46,294.03
  4. Step 4: Simplify right side
    19,996.88x = 2,143,137,329.38
  5. Step 5: Solve for x
    x = 2,143,137,329.38/19,996.88
  6. Step 6: Final answer
    x = 107,173.61

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.