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Finding the Third Proportional to 95,471 and 209,303

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Solution

The third proportional to 95,471 and 209,303 is: 458,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,471 : 209,303 = 209,303 : x
  2. Step 2: Convert to fraction form
    95,471/209,303 = 209,303/x
  3. Step 3: Cross multiply
    95,471x = 209,303 × 209,303
  4. Step 4: Simplify right side
    95,471x = 43,807,745,809
  5. Step 5: Solve for x
    x = 43,807,745,809/95,471
  6. Step 6: Final answer
    x = 458,859.19

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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.