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Finding the Third Proportional to 46,815 and 100,191

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Solution

The third proportional to 46,815 and 100,191 is: 214,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815 : 100,191 = 100,191 : x
  2. Step 2: Convert to fraction form
    46,815/100,191 = 100,191/x
  3. Step 3: Cross multiply
    46,815x = 100,191 × 100,191
  4. Step 4: Simplify right side
    46,815x = 10,038,236,481
  5. Step 5: Solve for x
    x = 10,038,236,481/46,815
  6. Step 6: Final answer
    x = 214,423.51

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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.