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Finding the Third Proportional to 98,064 and 211,682

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Solution

The third proportional to 98,064 and 211,682 is: 456,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064 : 211,682 = 211,682 : x
  2. Step 2: Convert to fraction form
    98,064/211,682 = 211,682/x
  3. Step 3: Cross multiply
    98,064x = 211,682 × 211,682
  4. Step 4: Simplify right side
    98,064x = 44,809,269,124
  5. Step 5: Solve for x
    x = 44,809,269,124/98,064
  6. Step 6: Final answer
    x = 456,939.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.