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Finding the Third Proportional to 47,662.88 and 101,658.38

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Solution

The third proportional to 47,662.88 and 101,658.38 is: 216,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.88 : 101,658.38 = 101,658.38 : x
  2. Step 2: Convert to fraction form
    47,662.88/101,658.38 = 101,658.38/x
  3. Step 3: Cross multiply
    47,662.88x = 101,658.38 × 101,658.38
  4. Step 4: Simplify right side
    47,662.88x = 10,334,425,207.64
  5. Step 5: Solve for x
    x = 10,334,425,207.64/47,662.88
  6. Step 6: Final answer
    x = 216,823.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.