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Finding the Third Proportional to 22,846.78 and 50,106.94

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Solution

The third proportional to 22,846.78 and 50,106.94 is: 109,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.78 : 50,106.94 = 50,106.94 : x
  2. Step 2: Convert to fraction form
    22,846.78/50,106.94 = 50,106.94/x
  3. Step 3: Cross multiply
    22,846.78x = 50,106.94 × 50,106.94
  4. Step 4: Simplify right side
    22,846.78x = 2,510,705,185.63
  5. Step 5: Solve for x
    x = 2,510,705,185.63/22,846.78
  6. Step 6: Final answer
    x = 109,893.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.