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Finding the Third Proportional to 98,059 and 211,671

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Solution

The third proportional to 98,059 and 211,671 is: 456,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,059 : 211,671 = 211,671 : x
  2. Step 2: Convert to fraction form
    98,059/211,671 = 211,671/x
  3. Step 3: Cross multiply
    98,059x = 211,671 × 211,671
  4. Step 4: Simplify right side
    98,059x = 44,804,612,241
  5. Step 5: Solve for x
    x = 44,804,612,241/98,059
  6. Step 6: Final answer
    x = 456,914.84

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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.