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Finding the Third Proportional to 46,954 and 100,466

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Solution

The third proportional to 46,954 and 100,466 is: 214,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954 : 100,466 = 100,466 : x
  2. Step 2: Convert to fraction form
    46,954/100,466 = 100,466/x
  3. Step 3: Cross multiply
    46,954x = 100,466 × 100,466
  4. Step 4: Simplify right side
    46,954x = 10,093,417,156
  5. Step 5: Solve for x
    x = 10,093,417,156/46,954
  6. Step 6: Final answer
    x = 214,963.95

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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.