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Finding the Third Proportional to 46,450 and 101,800

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Solution

The third proportional to 46,450 and 101,800 is: 223,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,450 : 101,800 = 101,800 : x
  2. Step 2: Convert to fraction form
    46,450/101,800 = 101,800/x
  3. Step 3: Cross multiply
    46,450x = 101,800 × 101,800
  4. Step 4: Simplify right side
    46,450x = 10,363,240,000
  5. Step 5: Solve for x
    x = 10,363,240,000/46,450
  6. Step 6: Final answer
    x = 223,105.27

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Why These Related Problems?

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