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Finding the Third Proportional to 47,816 and 105,068

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Solution

The third proportional to 47,816 and 105,068 is: 230,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816 : 105,068 = 105,068 : x
  2. Step 2: Convert to fraction form
    47,816/105,068 = 105,068/x
  3. Step 3: Cross multiply
    47,816x = 105,068 × 105,068
  4. Step 4: Simplify right side
    47,816x = 11,039,284,624
  5. Step 5: Solve for x
    x = 11,039,284,624/47,816
  6. Step 6: Final answer
    x = 230,870.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.