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Finding the Third Proportional to 46,978 and 98,571

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Solution

The third proportional to 46,978 and 98,571 is: 206,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978 : 98,571 = 98,571 : x
  2. Step 2: Convert to fraction form
    46,978/98,571 = 98,571/x
  3. Step 3: Cross multiply
    46,978x = 98,571 × 98,571
  4. Step 4: Simplify right side
    46,978x = 9,716,242,041
  5. Step 5: Solve for x
    x = 9,716,242,041/46,978
  6. Step 6: Final answer
    x = 206,825.37

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