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Finding the Third Proportional to 46,338.50 and 101,175.50

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Solution

The third proportional to 46,338.50 and 101,175.50 is: 220,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,338.50 : 101,175.50 = 101,175.50 : x
  2. Step 2: Convert to fraction form
    46,338.50/101,175.50 = 101,175.50/x
  3. Step 3: Cross multiply
    46,338.50x = 101,175.50 × 101,175.50
  4. Step 4: Simplify right side
    46,338.50x = 10,236,481,800.25
  5. Step 5: Solve for x
    x = 10,236,481,800.25/46,338.50
  6. Step 6: Final answer
    x = 220,906.63

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Why These Related Problems?

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