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Finding the Third Proportional to 46,338 and 98,116

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Solution

The third proportional to 46,338 and 98,116 is: 207,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,338 : 98,116 = 98,116 : x
  2. Step 2: Convert to fraction form
    46,338/98,116 = 98,116/x
  3. Step 3: Cross multiply
    46,338x = 98,116 × 98,116
  4. Step 4: Simplify right side
    46,338x = 9,626,749,456
  5. Step 5: Solve for x
    x = 9,626,749,456/46,338
  6. Step 6: Final answer
    x = 207,750.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.