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Finding the Third Proportional to 93,168 and 206,976

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Solution

The third proportional to 93,168 and 206,976 is: 459,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,168 : 206,976 = 206,976 : x
  2. Step 2: Convert to fraction form
    93,168/206,976 = 206,976/x
  3. Step 3: Cross multiply
    93,168x = 206,976 × 206,976
  4. Step 4: Simplify right side
    93,168x = 42,839,064,576
  5. Step 5: Solve for x
    x = 42,839,064,576/93,168
  6. Step 6: Final answer
    x = 459,804.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.