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Finding the Third Proportional to 95,907 and 209,382

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Solution

The third proportional to 95,907 and 209,382 is: 457,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,907 : 209,382 = 209,382 : x
  2. Step 2: Convert to fraction form
    95,907/209,382 = 209,382/x
  3. Step 3: Cross multiply
    95,907x = 209,382 × 209,382
  4. Step 4: Simplify right side
    95,907x = 43,840,821,924
  5. Step 5: Solve for x
    x = 43,840,821,924/95,907
  6. Step 6: Final answer
    x = 457,118.06

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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.