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Finding the Third Proportional to 46,749 and 100,196

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Solution

The third proportional to 46,749 and 100,196 is: 214,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,749 : 100,196 = 100,196 : x
  2. Step 2: Convert to fraction form
    46,749/100,196 = 100,196/x
  3. Step 3: Cross multiply
    46,749x = 100,196 × 100,196
  4. Step 4: Simplify right side
    46,749x = 10,039,238,416
  5. Step 5: Solve for x
    x = 10,039,238,416/46,749
  6. Step 6: Final answer
    x = 214,747.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.