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Finding the Third Proportional to 48,721.50 and 96,774.75

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Solution

The third proportional to 48,721.50 and 96,774.75 is: 192,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721.50 : 96,774.75 = 96,774.75 : x
  2. Step 2: Convert to fraction form
    48,721.50/96,774.75 = 96,774.75/x
  3. Step 3: Cross multiply
    48,721.50x = 96,774.75 × 96,774.75
  4. Step 4: Simplify right side
    48,721.50x = 9,365,352,237.56
  5. Step 5: Solve for x
    x = 9,365,352,237.56/48,721.50
  6. Step 6: Final answer
    x = 192,222.17

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.