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Finding the Third Proportional to 47,120.91 and 101,622.94

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Solution

The third proportional to 47,120.91 and 101,622.94 is: 219,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,120.91 : 101,622.94 = 101,622.94 : x
  2. Step 2: Convert to fraction form
    47,120.91/101,622.94 = 101,622.94/x
  3. Step 3: Cross multiply
    47,120.91x = 101,622.94 × 101,622.94
  4. Step 4: Simplify right side
    47,120.91x = 10,327,221,426.13
  5. Step 5: Solve for x
    x = 10,327,221,426.13/47,120.91
  6. Step 6: Final answer
    x = 219,164.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.