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Finding the Third Proportional to 47,136.94 and 101,649.94

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Solution

The third proportional to 47,136.94 and 101,649.94 is: 219,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,136.94 : 101,649.94 = 101,649.94 : x
  2. Step 2: Convert to fraction form
    47,136.94/101,649.94 = 101,649.94/x
  3. Step 3: Cross multiply
    47,136.94x = 101,649.94 × 101,649.94
  4. Step 4: Simplify right side
    47,136.94x = 10,332,709,793.75
  5. Step 5: Solve for x
    x = 10,332,709,793.75/47,136.94
  6. Step 6: Final answer
    x = 219,206.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.