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Finding the Third Proportional to 46,379 and 100,169

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Solution

The third proportional to 46,379 and 100,169 is: 216,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,379 : 100,169 = 100,169 : x
  2. Step 2: Convert to fraction form
    46,379/100,169 = 100,169/x
  3. Step 3: Cross multiply
    46,379x = 100,169 × 100,169
  4. Step 4: Simplify right side
    46,379x = 10,033,828,561
  5. Step 5: Solve for x
    x = 10,033,828,561/46,379
  6. Step 6: Final answer
    x = 216,344.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.