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Finding the Third Proportional to 46,109 and 100,596

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Solution

The third proportional to 46,109 and 100,596 is: 219,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,109 : 100,596 = 100,596 : x
  2. Step 2: Convert to fraction form
    46,109/100,596 = 100,596/x
  3. Step 3: Cross multiply
    46,109x = 100,596 × 100,596
  4. Step 4: Simplify right side
    46,109x = 10,119,555,216
  5. Step 5: Solve for x
    x = 10,119,555,216/46,109
  6. Step 6: Final answer
    x = 219,470.28

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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.