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Finding the Third Proportional to 95,630 and 195,484

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Solution

The third proportional to 95,630 and 195,484 is: 399,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,630 : 195,484 = 195,484 : x
  2. Step 2: Convert to fraction form
    95,630/195,484 = 195,484/x
  3. Step 3: Cross multiply
    95,630x = 195,484 × 195,484
  4. Step 4: Simplify right side
    95,630x = 38,213,994,256
  5. Step 5: Solve for x
    x = 38,213,994,256/95,630
  6. Step 6: Final answer
    x = 399,602.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.