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Finding the Third Proportional to 109,472 and 236,936

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Solution

The third proportional to 109,472 and 236,936 is: 512,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,472 : 236,936 = 236,936 : x
  2. Step 2: Convert to fraction form
    109,472/236,936 = 236,936/x
  3. Step 3: Cross multiply
    109,472x = 236,936 × 236,936
  4. Step 4: Simplify right side
    109,472x = 56,138,668,096
  5. Step 5: Solve for x
    x = 56,138,668,096/109,472
  6. Step 6: Final answer
    x = 512,813.03

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