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Finding the Third Proportional to 96,918 and 205,576

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Solution

The third proportional to 96,918 and 205,576 is: 436,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,918 : 205,576 = 205,576 : x
  2. Step 2: Convert to fraction form
    96,918/205,576 = 205,576/x
  3. Step 3: Cross multiply
    96,918x = 205,576 × 205,576
  4. Step 4: Simplify right side
    96,918x = 42,261,491,776
  5. Step 5: Solve for x
    x = 42,261,491,776/96,918
  6. Step 6: Final answer
    x = 436,054.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.