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Finding the Third Proportional to 46,242 and 98,244

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Solution

The third proportional to 46,242 and 98,244 is: 208,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,242 : 98,244 = 98,244 : x
  2. Step 2: Convert to fraction form
    46,242/98,244 = 98,244/x
  3. Step 3: Cross multiply
    46,242x = 98,244 × 98,244
  4. Step 4: Simplify right side
    46,242x = 9,651,883,536
  5. Step 5: Solve for x
    x = 9,651,883,536/46,242
  6. Step 6: Final answer
    x = 208,725.48

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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.