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Finding the Third Proportional to 95,948 and 209,992

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Solution

The third proportional to 95,948 and 209,992 is: 459,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,948 : 209,992 = 209,992 : x
  2. Step 2: Convert to fraction form
    95,948/209,992 = 209,992/x
  3. Step 3: Cross multiply
    95,948x = 209,992 × 209,992
  4. Step 4: Simplify right side
    95,948x = 44,096,640,064
  5. Step 5: Solve for x
    x = 44,096,640,064/95,948
  6. Step 6: Final answer
    x = 459,588.94

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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.