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Finding the Third Proportional to 95,822 and 208,438

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Solution

The third proportional to 95,822 and 208,438 is: 453,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,822 : 208,438 = 208,438 : x
  2. Step 2: Convert to fraction form
    95,822/208,438 = 208,438/x
  3. Step 3: Cross multiply
    95,822x = 208,438 × 208,438
  4. Step 4: Simplify right side
    95,822x = 43,446,399,844
  5. Step 5: Solve for x
    x = 43,446,399,844/95,822
  6. Step 6: Final answer
    x = 453,407.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.