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Finding the Third Proportional to 46,990 and 98,592

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Solution

The third proportional to 46,990 and 98,592 is: 206,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990 : 98,592 = 98,592 : x
  2. Step 2: Convert to fraction form
    46,990/98,592 = 98,592/x
  3. Step 3: Cross multiply
    46,990x = 98,592 × 98,592
  4. Step 4: Simplify right side
    46,990x = 9,720,382,464
  5. Step 5: Solve for x
    x = 9,720,382,464/46,990
  6. Step 6: Final answer
    x = 206,860.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.