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Finding the Third Proportional to 96,309 and 206,955

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Solution

The third proportional to 96,309 and 206,955 is: 444,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309 : 206,955 = 206,955 : x
  2. Step 2: Convert to fraction form
    96,309/206,955 = 206,955/x
  3. Step 3: Cross multiply
    96,309x = 206,955 × 206,955
  4. Step 4: Simplify right side
    96,309x = 42,830,372,025
  5. Step 5: Solve for x
    x = 42,830,372,025/96,309
  6. Step 6: Final answer
    x = 444,718.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.