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Finding the Third Proportional to 46,190 and 98,698

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Solution

The third proportional to 46,190 and 98,698 is: 210,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,190 : 98,698 = 98,698 : x
  2. Step 2: Convert to fraction form
    46,190/98,698 = 98,698/x
  3. Step 3: Cross multiply
    46,190x = 98,698 × 98,698
  4. Step 4: Simplify right side
    46,190x = 9,741,295,204
  5. Step 5: Solve for x
    x = 9,741,295,204/46,190
  6. Step 6: Final answer
    x = 210,896.19

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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.