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Finding the Third Proportional to 46,188 and 98,694

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Solution

The third proportional to 46,188 and 98,694 is: 210,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188 : 98,694 = 98,694 : x
  2. Step 2: Convert to fraction form
    46,188/98,694 = 98,694/x
  3. Step 3: Cross multiply
    46,188x = 98,694 × 98,694
  4. Step 4: Simplify right side
    46,188x = 9,740,505,636
  5. Step 5: Solve for x
    x = 9,740,505,636/46,188
  6. Step 6: Final answer
    x = 210,888.23

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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.