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Finding the Third Proportional to 98,451 and 209,205

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Solution

The third proportional to 98,451 and 209,205 is: 444,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,451 : 209,205 = 209,205 : x
  2. Step 2: Convert to fraction form
    98,451/209,205 = 209,205/x
  3. Step 3: Cross multiply
    98,451x = 209,205 × 209,205
  4. Step 4: Simplify right side
    98,451x = 43,766,732,025
  5. Step 5: Solve for x
    x = 43,766,732,025/98,451
  6. Step 6: Final answer
    x = 444,553.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.