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Finding the Third Proportional to 46,768 and 100,177

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Solution

The third proportional to 46,768 and 100,177 is: 214,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,768 : 100,177 = 100,177 : x
  2. Step 2: Convert to fraction form
    46,768/100,177 = 100,177/x
  3. Step 3: Cross multiply
    46,768x = 100,177 × 100,177
  4. Step 4: Simplify right side
    46,768x = 10,035,431,329
  5. Step 5: Solve for x
    x = 10,035,431,329/46,768
  6. Step 6: Final answer
    x = 214,579.01

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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.