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Finding the Third Proportional to 48,835.13 and 99,028.69

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Solution

The third proportional to 48,835.13 and 99,028.69 is: 200,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,835.13 : 99,028.69 = 99,028.69 : x
  2. Step 2: Convert to fraction form
    48,835.13/99,028.69 = 99,028.69/x
  3. Step 3: Cross multiply
    48,835.13x = 99,028.69 × 99,028.69
  4. Step 4: Simplify right side
    48,835.13x = 9,806,680,947.97
  5. Step 5: Solve for x
    x = 9,806,680,947.97/48,835.13
  6. Step 6: Final answer
    x = 200,812.04

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.