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Finding the Third Proportional to 100,908.50 and 228,031

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Solution

The third proportional to 100,908.50 and 228,031 is: 515,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908.50 : 228,031 = 228,031 : x
  2. Step 2: Convert to fraction form
    100,908.50/228,031 = 228,031/x
  3. Step 3: Cross multiply
    100,908.50x = 228,031 × 228,031
  4. Step 4: Simplify right side
    100,908.50x = 51,998,136,961
  5. Step 5: Solve for x
    x = 51,998,136,961/100,908.50
  6. Step 6: Final answer
    x = 515,299.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.