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Finding the Third Proportional to 46,566 and 97,694

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Solution

The third proportional to 46,566 and 97,694 is: 204,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,566 : 97,694 = 97,694 : x
  2. Step 2: Convert to fraction form
    46,566/97,694 = 97,694/x
  3. Step 3: Cross multiply
    46,566x = 97,694 × 97,694
  4. Step 4: Simplify right side
    46,566x = 9,544,117,636
  5. Step 5: Solve for x
    x = 9,544,117,636/46,566
  6. Step 6: Final answer
    x = 204,958.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.