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Finding the Third Proportional to 47,763.84 and 101,217.09

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Solution

The third proportional to 47,763.84 and 101,217.09 is: 214,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.84 : 101,217.09 = 101,217.09 : x
  2. Step 2: Convert to fraction form
    47,763.84/101,217.09 = 101,217.09/x
  3. Step 3: Cross multiply
    47,763.84x = 101,217.09 × 101,217.09
  4. Step 4: Simplify right side
    47,763.84x = 10,244,900,067.20
  5. Step 5: Solve for x
    x = 10,244,900,067.20/47,763.84
  6. Step 6: Final answer
    x = 214,490.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.