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Finding the Third Proportional to 46,440 and 98,874

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Solution

The third proportional to 46,440 and 98,874 is: 210,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,440 : 98,874 = 98,874 : x
  2. Step 2: Convert to fraction form
    46,440/98,874 = 98,874/x
  3. Step 3: Cross multiply
    46,440x = 98,874 × 98,874
  4. Step 4: Simplify right side
    46,440x = 9,776,067,876
  5. Step 5: Solve for x
    x = 9,776,067,876/46,440
  6. Step 6: Final answer
    x = 210,509.64

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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.