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Finding the Third Proportional to 44,973 and 98,694

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Solution

The third proportional to 44,973 and 98,694 is: 216,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,973 : 98,694 = 98,694 : x
  2. Step 2: Convert to fraction form
    44,973/98,694 = 98,694/x
  3. Step 3: Cross multiply
    44,973x = 98,694 × 98,694
  4. Step 4: Simplify right side
    44,973x = 9,740,505,636
  5. Step 5: Solve for x
    x = 9,740,505,636/44,973
  6. Step 6: Final answer
    x = 216,585.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.