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Finding the Third Proportional to 47,464.38 and 101,063.75

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Solution

The third proportional to 47,464.38 and 101,063.75 is: 215,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464.38 : 101,063.75 = 101,063.75 : x
  2. Step 2: Convert to fraction form
    47,464.38/101,063.75 = 101,063.75/x
  3. Step 3: Cross multiply
    47,464.38x = 101,063.75 × 101,063.75
  4. Step 4: Simplify right side
    47,464.38x = 10,213,881,564.06
  5. Step 5: Solve for x
    x = 10,213,881,564.06/47,464.38
  6. Step 6: Final answer
    x = 215,190.48

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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.