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Finding the Third Proportional to 46,310.50 and 101,183.50

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Solution

The third proportional to 46,310.50 and 101,183.50 is: 221,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,310.50 : 101,183.50 = 101,183.50 : x
  2. Step 2: Convert to fraction form
    46,310.50/101,183.50 = 101,183.50/x
  3. Step 3: Cross multiply
    46,310.50x = 101,183.50 × 101,183.50
  4. Step 4: Simplify right side
    46,310.50x = 10,238,100,672.25
  5. Step 5: Solve for x
    x = 10,238,100,672.25/46,310.50
  6. Step 6: Final answer
    x = 221,075.15

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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.