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Finding the Third Proportional to 46,843.31 and 100,379.25

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Solution

The third proportional to 46,843.31 and 100,379.25 is: 215,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.31 : 100,379.25 = 100,379.25 : x
  2. Step 2: Convert to fraction form
    46,843.31/100,379.25 = 100,379.25/x
  3. Step 3: Cross multiply
    46,843.31x = 100,379.25 × 100,379.25
  4. Step 4: Simplify right side
    46,843.31x = 10,075,993,830.56
  5. Step 5: Solve for x
    x = 10,075,993,830.56/46,843.31
  6. Step 6: Final answer
    x = 215,099.94

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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.