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Finding the Third Proportional to 47,651.63 and 101,847.38

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Solution

The third proportional to 47,651.63 and 101,847.38 is: 217,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.63 : 101,847.38 = 101,847.38 : x
  2. Step 2: Convert to fraction form
    47,651.63/101,847.38 = 101,847.38/x
  3. Step 3: Cross multiply
    47,651.63x = 101,847.38 × 101,847.38
  4. Step 4: Simplify right side
    47,651.63x = 10,372,887,794.39
  5. Step 5: Solve for x
    x = 10,372,887,794.39/47,651.63
  6. Step 6: Final answer
    x = 217,681.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.