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Finding the Third Proportional to 98,531 and 216,745

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Solution

The third proportional to 98,531 and 216,745 is: 476,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,531 : 216,745 = 216,745 : x
  2. Step 2: Convert to fraction form
    98,531/216,745 = 216,745/x
  3. Step 3: Cross multiply
    98,531x = 216,745 × 216,745
  4. Step 4: Simplify right side
    98,531x = 46,978,395,025
  5. Step 5: Solve for x
    x = 46,978,395,025/98,531
  6. Step 6: Final answer
    x = 476,787.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.