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Finding the Third Proportional to 93,978 and 202,626.56

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Solution

The third proportional to 93,978 and 202,626.56 is: 436,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 202,626.56 = 202,626.56 : x
  2. Step 2: Convert to fraction form
    93,978/202,626.56 = 202,626.56/x
  3. Step 3: Cross multiply
    93,978x = 202,626.56 × 202,626.56
  4. Step 4: Simplify right side
    93,978x = 41,057,523,830.57
  5. Step 5: Solve for x
    x = 41,057,523,830.57/93,978
  6. Step 6: Final answer
    x = 436,884.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.