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Finding the Third Proportional to 95,528 and 206,768

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Solution

The third proportional to 95,528 and 206,768 is: 447,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,528 : 206,768 = 206,768 : x
  2. Step 2: Convert to fraction form
    95,528/206,768 = 206,768/x
  3. Step 3: Cross multiply
    95,528x = 206,768 × 206,768
  4. Step 4: Simplify right side
    95,528x = 42,753,005,824
  5. Step 5: Solve for x
    x = 42,753,005,824/95,528
  6. Step 6: Final answer
    x = 447,544.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.