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Finding the Third Proportional to 47,014 and 97,916

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Solution

The third proportional to 47,014 and 97,916 is: 203,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,014 : 97,916 = 97,916 : x
  2. Step 2: Convert to fraction form
    47,014/97,916 = 97,916/x
  3. Step 3: Cross multiply
    47,014x = 97,916 × 97,916
  4. Step 4: Simplify right side
    47,014x = 9,587,543,056
  5. Step 5: Solve for x
    x = 9,587,543,056/47,014
  6. Step 6: Final answer
    x = 203,929.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.