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Finding the Third Proportional to 46,816 and 101,408

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Solution

The third proportional to 46,816 and 101,408 is: 219,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816 : 101,408 = 101,408 : x
  2. Step 2: Convert to fraction form
    46,816/101,408 = 101,408/x
  3. Step 3: Cross multiply
    46,816x = 101,408 × 101,408
  4. Step 4: Simplify right side
    46,816x = 10,283,582,464
  5. Step 5: Solve for x
    x = 10,283,582,464/46,816
  6. Step 6: Final answer
    x = 219,659.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.