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Finding the Third Proportional to 96,943 and 207,926

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Solution

The third proportional to 96,943 and 207,926 is: 445,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,943 : 207,926 = 207,926 : x
  2. Step 2: Convert to fraction form
    96,943/207,926 = 207,926/x
  3. Step 3: Cross multiply
    96,943x = 207,926 × 207,926
  4. Step 4: Simplify right side
    96,943x = 43,233,221,476
  5. Step 5: Solve for x
    x = 43,233,221,476/96,943
  6. Step 6: Final answer
    x = 445,965.38

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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.