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Finding the Third Proportional to 102,896 and 211,936

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Solution

The third proportional to 102,896 and 211,936 is: 436,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896 : 211,936 = 211,936 : x
  2. Step 2: Convert to fraction form
    102,896/211,936 = 211,936/x
  3. Step 3: Cross multiply
    102,896x = 211,936 × 211,936
  4. Step 4: Simplify right side
    102,896x = 44,916,868,096
  5. Step 5: Solve for x
    x = 44,916,868,096/102,896
  6. Step 6: Final answer
    x = 436,526.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.