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Finding the Third Proportional to 46,708 and 99,977

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Solution

The third proportional to 46,708 and 99,977 is: 213,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708 : 99,977 = 99,977 : x
  2. Step 2: Convert to fraction form
    46,708/99,977 = 99,977/x
  3. Step 3: Cross multiply
    46,708x = 99,977 × 99,977
  4. Step 4: Simplify right side
    46,708x = 9,995,400,529
  5. Step 5: Solve for x
    x = 9,995,400,529/46,708
  6. Step 6: Final answer
    x = 213,997.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.