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Finding the Third Proportional to 47,437 and 100,098

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Solution

The third proportional to 47,437 and 100,098 is: 211,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,437 : 100,098 = 100,098 : x
  2. Step 2: Convert to fraction form
    47,437/100,098 = 100,098/x
  3. Step 3: Cross multiply
    47,437x = 100,098 × 100,098
  4. Step 4: Simplify right side
    47,437x = 10,019,609,604
  5. Step 5: Solve for x
    x = 10,019,609,604/47,437
  6. Step 6: Final answer
    x = 211,219.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.