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Finding the Third Proportional to 46,442 and 98,878

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Solution

The third proportional to 46,442 and 98,878 is: 210,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,442 : 98,878 = 98,878 : x
  2. Step 2: Convert to fraction form
    46,442/98,878 = 98,878/x
  3. Step 3: Cross multiply
    46,442x = 98,878 × 98,878
  4. Step 4: Simplify right side
    46,442x = 9,776,858,884
  5. Step 5: Solve for x
    x = 9,776,858,884/46,442
  6. Step 6: Final answer
    x = 210,517.61

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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.