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Finding the Third Proportional to 47,464.88 and 101,064.75

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Solution

The third proportional to 47,464.88 and 101,064.75 is: 215,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464.88 : 101,064.75 = 101,064.75 : x
  2. Step 2: Convert to fraction form
    47,464.88/101,064.75 = 101,064.75/x
  3. Step 3: Cross multiply
    47,464.88x = 101,064.75 × 101,064.75
  4. Step 4: Simplify right side
    47,464.88x = 10,214,083,692.56
  5. Step 5: Solve for x
    x = 10,214,083,692.56/47,464.88
  6. Step 6: Final answer
    x = 215,192.47

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