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Finding the Third Proportional to 46,992 and 98,832

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Solution

The third proportional to 46,992 and 98,832 is: 207,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 98,832 = 98,832 : x
  2. Step 2: Convert to fraction form
    46,992/98,832 = 98,832/x
  3. Step 3: Cross multiply
    46,992x = 98,832 × 98,832
  4. Step 4: Simplify right side
    46,992x = 9,767,764,224
  5. Step 5: Solve for x
    x = 9,767,764,224/46,992
  6. Step 6: Final answer
    x = 207,860.15

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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.