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Finding the Third Proportional to 46,900 and 95,536

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Solution

The third proportional to 46,900 and 95,536 is: 194,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,900 : 95,536 = 95,536 : x
  2. Step 2: Convert to fraction form
    46,900/95,536 = 95,536/x
  3. Step 3: Cross multiply
    46,900x = 95,536 × 95,536
  4. Step 4: Simplify right side
    46,900x = 9,127,127,296
  5. Step 5: Solve for x
    x = 9,127,127,296/46,900
  6. Step 6: Final answer
    x = 194,608.26

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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.