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Finding the Third Proportional to 47,658.38 and 101,642.34

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Solution

The third proportional to 47,658.38 and 101,642.34 is: 216,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.38 : 101,642.34 = 101,642.34 : x
  2. Step 2: Convert to fraction form
    47,658.38/101,642.34 = 101,642.34/x
  3. Step 3: Cross multiply
    47,658.38x = 101,642.34 × 101,642.34
  4. Step 4: Simplify right side
    47,658.38x = 10,331,166,042.99
  5. Step 5: Solve for x
    x = 10,331,166,042.99/47,658.38
  6. Step 6: Final answer
    x = 216,775.46

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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.