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Finding the Third Proportional to 21,441.78 and 46,199.31

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Solution

The third proportional to 21,441.78 and 46,199.31 is: 99,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.78 : 46,199.31 = 46,199.31 : x
  2. Step 2: Convert to fraction form
    21,441.78/46,199.31 = 46,199.31/x
  3. Step 3: Cross multiply
    21,441.78x = 46,199.31 × 46,199.31
  4. Step 4: Simplify right side
    21,441.78x = 2,134,375,979.19
  5. Step 5: Solve for x
    x = 2,134,375,979.19/21,441.78
  6. Step 6: Final answer
    x = 99,542.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.