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Finding the Third Proportional to 95,488 and 209,337

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Solution

The third proportional to 95,488 and 209,337 is: 458,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,488 : 209,337 = 209,337 : x
  2. Step 2: Convert to fraction form
    95,488/209,337 = 209,337/x
  3. Step 3: Cross multiply
    95,488x = 209,337 × 209,337
  4. Step 4: Simplify right side
    95,488x = 43,821,979,569
  5. Step 5: Solve for x
    x = 43,821,979,569/95,488
  6. Step 6: Final answer
    x = 458,926.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.