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Finding the Third Proportional to 46,886 and 99,923

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Solution

The third proportional to 46,886 and 99,923 is: 212,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886 : 99,923 = 99,923 : x
  2. Step 2: Convert to fraction form
    46,886/99,923 = 99,923/x
  3. Step 3: Cross multiply
    46,886x = 99,923 × 99,923
  4. Step 4: Simplify right side
    46,886x = 9,984,605,929
  5. Step 5: Solve for x
    x = 9,984,605,929/46,886
  6. Step 6: Final answer
    x = 212,954.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.