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Finding the Third Proportional to 50,296.50 and 108,497

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Solution

The third proportional to 50,296.50 and 108,497 is: 234,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.50 : 108,497 = 108,497 : x
  2. Step 2: Convert to fraction form
    50,296.50/108,497 = 108,497/x
  3. Step 3: Cross multiply
    50,296.50x = 108,497 × 108,497
  4. Step 4: Simplify right side
    50,296.50x = 11,771,599,009
  5. Step 5: Solve for x
    x = 11,771,599,009/50,296.50
  6. Step 6: Final answer
    x = 234,044.10

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Why These Related Problems?

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