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Finding the Third Proportional to 47,620.41 and 101,801.81

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Solution

The third proportional to 47,620.41 and 101,801.81 is: 217,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,620.41 : 101,801.81 = 101,801.81 : x
  2. Step 2: Convert to fraction form
    47,620.41/101,801.81 = 101,801.81/x
  3. Step 3: Cross multiply
    47,620.41x = 101,801.81 × 101,801.81
  4. Step 4: Simplify right side
    47,620.41x = 10,363,609,028.29
  5. Step 5: Solve for x
    x = 10,363,609,028.29/47,620.41
  6. Step 6: Final answer
    x = 217,629.58

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