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Finding the Third Proportional to 46,419 and 95,296

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Solution

The third proportional to 46,419 and 95,296 is: 195,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419 : 95,296 = 95,296 : x
  2. Step 2: Convert to fraction form
    46,419/95,296 = 95,296/x
  3. Step 3: Cross multiply
    46,419x = 95,296 × 95,296
  4. Step 4: Simplify right side
    46,419x = 9,081,327,616
  5. Step 5: Solve for x
    x = 9,081,327,616/46,419
  6. Step 6: Final answer
    x = 195,638.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.