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Finding the Third Proportional to 46,491 and 98,796

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Solution

The third proportional to 46,491 and 98,796 is: 209,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,491 : 98,796 = 98,796 : x
  2. Step 2: Convert to fraction form
    46,491/98,796 = 98,796/x
  3. Step 3: Cross multiply
    46,491x = 98,796 × 98,796
  4. Step 4: Simplify right side
    46,491x = 9,760,649,616
  5. Step 5: Solve for x
    x = 9,760,649,616/46,491
  6. Step 6: Final answer
    x = 209,947.08

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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.