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Finding the Third Proportional to 94,634 and 206,976

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Solution

The third proportional to 94,634 and 206,976 is: 452,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,634 : 206,976 = 206,976 : x
  2. Step 2: Convert to fraction form
    94,634/206,976 = 206,976/x
  3. Step 3: Cross multiply
    94,634x = 206,976 × 206,976
  4. Step 4: Simplify right side
    94,634x = 42,839,064,576
  5. Step 5: Solve for x
    x = 42,839,064,576/94,634
  6. Step 6: Final answer
    x = 452,681.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.