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Finding the Third Proportional to 46,198.50 and 101,488.50

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Solution

The third proportional to 46,198.50 and 101,488.50 is: 222,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198.50 : 101,488.50 = 101,488.50 : x
  2. Step 2: Convert to fraction form
    46,198.50/101,488.50 = 101,488.50/x
  3. Step 3: Cross multiply
    46,198.50x = 101,488.50 × 101,488.50
  4. Step 4: Simplify right side
    46,198.50x = 10,299,915,632.25
  5. Step 5: Solve for x
    x = 10,299,915,632.25/46,198.50
  6. Step 6: Final answer
    x = 222,949.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.