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Finding the Third Proportional to 46,756 and 100,211

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Solution

The third proportional to 46,756 and 100,211 is: 214,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,756 : 100,211 = 100,211 : x
  2. Step 2: Convert to fraction form
    46,756/100,211 = 100,211/x
  3. Step 3: Cross multiply
    46,756x = 100,211 × 100,211
  4. Step 4: Simplify right side
    46,756x = 10,042,244,521
  5. Step 5: Solve for x
    x = 10,042,244,521/46,756
  6. Step 6: Final answer
    x = 214,779.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.