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Finding the Third Proportional to 47,148.75 and 95,664.38

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Solution

The third proportional to 47,148.75 and 95,664.38 is: 194,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148.75 : 95,664.38 = 95,664.38 : x
  2. Step 2: Convert to fraction form
    47,148.75/95,664.38 = 95,664.38/x
  3. Step 3: Cross multiply
    47,148.75x = 95,664.38 × 95,664.38
  4. Step 4: Simplify right side
    47,148.75x = 9,151,672,644.14
  5. Step 5: Solve for x
    x = 9,151,672,644.14/47,148.75
  6. Step 6: Final answer
    x = 194,102.13

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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.