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Finding the Third Proportional to 101,096.50 and 220,031

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Solution

The third proportional to 101,096.50 and 220,031 is: 478,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,096.50 : 220,031 = 220,031 : x
  2. Step 2: Convert to fraction form
    101,096.50/220,031 = 220,031/x
  3. Step 3: Cross multiply
    101,096.50x = 220,031 × 220,031
  4. Step 4: Simplify right side
    101,096.50x = 48,413,640,961
  5. Step 5: Solve for x
    x = 48,413,640,961/101,096.50
  6. Step 6: Final answer
    x = 478,885.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.