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Finding the Third Proportional to 46,223 and 99,571

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Solution

The third proportional to 46,223 and 99,571 is: 214,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,223 : 99,571 = 99,571 : x
  2. Step 2: Convert to fraction form
    46,223/99,571 = 99,571/x
  3. Step 3: Cross multiply
    46,223x = 99,571 × 99,571
  4. Step 4: Simplify right side
    46,223x = 9,914,384,041
  5. Step 5: Solve for x
    x = 9,914,384,041/46,223
  6. Step 6: Final answer
    x = 214,490.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.