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Finding the Third Proportional to 95,679 and 209,598

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Solution

The third proportional to 95,679 and 209,598 is: 459,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,679 : 209,598 = 209,598 : x
  2. Step 2: Convert to fraction form
    95,679/209,598 = 209,598/x
  3. Step 3: Cross multiply
    95,679x = 209,598 × 209,598
  4. Step 4: Simplify right side
    95,679x = 43,931,321,604
  5. Step 5: Solve for x
    x = 43,931,321,604/95,679
  6. Step 6: Final answer
    x = 459,153.23

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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.