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Finding the Third Proportional to 96,656 and 196,044

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Solution

The third proportional to 96,656 and 196,044 is: 397,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,656 : 196,044 = 196,044 : x
  2. Step 2: Convert to fraction form
    96,656/196,044 = 196,044/x
  3. Step 3: Cross multiply
    96,656x = 196,044 × 196,044
  4. Step 4: Simplify right side
    96,656x = 38,433,249,936
  5. Step 5: Solve for x
    x = 38,433,249,936/96,656
  6. Step 6: Final answer
    x = 397,629.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.