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Finding the Third Proportional to 46,325.67 and 101,147.33

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Solution

The third proportional to 46,325.67 and 101,147.33 is: 220,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,325.67 : 101,147.33 = 101,147.33 : x
  2. Step 2: Convert to fraction form
    46,325.67/101,147.33 = 101,147.33/x
  3. Step 3: Cross multiply
    46,325.67x = 101,147.33 × 101,147.33
  4. Step 4: Simplify right side
    46,325.67x = 10,230,781,591.72
  5. Step 5: Solve for x
    x = 10,230,781,591.72/46,325.67
  6. Step 6: Final answer
    x = 220,844.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.