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Finding the Third Proportional to 46,197 and 98,956

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Solution

The third proportional to 46,197 and 98,956 is: 211,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,197 : 98,956 = 98,956 : x
  2. Step 2: Convert to fraction form
    46,197/98,956 = 98,956/x
  3. Step 3: Cross multiply
    46,197x = 98,956 × 98,956
  4. Step 4: Simplify right side
    46,197x = 9,792,289,936
  5. Step 5: Solve for x
    x = 9,792,289,936/46,197
  6. Step 6: Final answer
    x = 211,968.09

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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.