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Finding the Third Proportional to 47,898 and 97,161.75

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Solution

The third proportional to 47,898 and 97,161.75 is: 197,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,898 : 97,161.75 = 97,161.75 : x
  2. Step 2: Convert to fraction form
    47,898/97,161.75 = 97,161.75/x
  3. Step 3: Cross multiply
    47,898x = 97,161.75 × 97,161.75
  4. Step 4: Simplify right side
    47,898x = 9,440,405,663.06
  5. Step 5: Solve for x
    x = 9,440,405,663.06/47,898
  6. Step 6: Final answer
    x = 197,093.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.