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Finding the Third Proportional to 103,910.50 and 224,036

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Solution

The third proportional to 103,910.50 and 224,036 is: 483,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910.50 : 224,036 = 224,036 : x
  2. Step 2: Convert to fraction form
    103,910.50/224,036 = 224,036/x
  3. Step 3: Cross multiply
    103,910.50x = 224,036 × 224,036
  4. Step 4: Simplify right side
    103,910.50x = 50,192,129,296
  5. Step 5: Solve for x
    x = 50,192,129,296/103,910.50
  6. Step 6: Final answer
    x = 483,032.31

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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.