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Finding the Third Proportional to 95,646 and 195,516

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Solution

The third proportional to 95,646 and 195,516 is: 399,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,646 : 195,516 = 195,516 : x
  2. Step 2: Convert to fraction form
    95,646/195,516 = 195,516/x
  3. Step 3: Cross multiply
    95,646x = 195,516 × 195,516
  4. Step 4: Simplify right side
    95,646x = 38,226,506,256
  5. Step 5: Solve for x
    x = 38,226,506,256/95,646
  6. Step 6: Final answer
    x = 399,666.54

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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.