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Finding the Third Proportional to 49,451.50 and 93,921.50

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Solution

The third proportional to 49,451.50 and 93,921.50 is: 178,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,451.50 : 93,921.50 = 93,921.50 : x
  2. Step 2: Convert to fraction form
    49,451.50/93,921.50 = 93,921.50/x
  3. Step 3: Cross multiply
    49,451.50x = 93,921.50 × 93,921.50
  4. Step 4: Simplify right side
    49,451.50x = 8,821,248,162.25
  5. Step 5: Solve for x
    x = 8,821,248,162.25/49,451.50
  6. Step 6: Final answer
    x = 178,381.81

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.