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Finding the Third Proportional to 96,798 and 207,608

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Solution

The third proportional to 96,798 and 207,608 is: 445,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,798 : 207,608 = 207,608 : x
  2. Step 2: Convert to fraction form
    96,798/207,608 = 207,608/x
  3. Step 3: Cross multiply
    96,798x = 207,608 × 207,608
  4. Step 4: Simplify right side
    96,798x = 43,101,081,664
  5. Step 5: Solve for x
    x = 43,101,081,664/96,798
  6. Step 6: Final answer
    x = 445,268.31

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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.