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Finding the Third Proportional to 46,152.09 and 100,846.31

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Solution

The third proportional to 46,152.09 and 100,846.31 is: 220,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,152.09 : 100,846.31 = 100,846.31 : x
  2. Step 2: Convert to fraction form
    46,152.09/100,846.31 = 100,846.31/x
  3. Step 3: Cross multiply
    46,152.09x = 100,846.31 × 100,846.31
  4. Step 4: Simplify right side
    46,152.09x = 10,169,978,744.85
  5. Step 5: Solve for x
    x = 10,169,978,744.85/46,152.09
  6. Step 6: Final answer
    x = 220,357.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.