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Finding the Third Proportional to 47,631 and 103,470

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Solution

The third proportional to 47,631 and 103,470 is: 224,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,631 : 103,470 = 103,470 : x
  2. Step 2: Convert to fraction form
    47,631/103,470 = 103,470/x
  3. Step 3: Cross multiply
    47,631x = 103,470 × 103,470
  4. Step 4: Simplify right side
    47,631x = 10,706,040,900
  5. Step 5: Solve for x
    x = 10,706,040,900/47,631
  6. Step 6: Final answer
    x = 224,770.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.