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Finding the Third Proportional to 93,978 and 202,731.75

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Solution

The third proportional to 93,978 and 202,731.75 is: 437,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 202,731.75 = 202,731.75 : x
  2. Step 2: Convert to fraction form
    93,978/202,731.75 = 202,731.75/x
  3. Step 3: Cross multiply
    93,978x = 202,731.75 × 202,731.75
  4. Step 4: Simplify right side
    93,978x = 41,100,162,458.06
  5. Step 5: Solve for x
    x = 41,100,162,458.06/93,978
  6. Step 6: Final answer
    x = 437,338.13

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Why These Related Problems?

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