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Finding the Third Proportional to 50,326.50 and 102,838.50

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Solution

The third proportional to 50,326.50 and 102,838.50 is: 210,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,326.50 : 102,838.50 = 102,838.50 : x
  2. Step 2: Convert to fraction form
    50,326.50/102,838.50 = 102,838.50/x
  3. Step 3: Cross multiply
    50,326.50x = 102,838.50 × 102,838.50
  4. Step 4: Simplify right side
    50,326.50x = 10,575,757,082.25
  5. Step 5: Solve for x
    x = 10,575,757,082.25/50,326.50
  6. Step 6: Final answer
    x = 210,142.91

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.