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Finding the Third Proportional to 98,269.88 and 209,408.63

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Solution

The third proportional to 98,269.88 and 209,408.63 is: 446,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,269.88 : 209,408.63 = 209,408.63 : x
  2. Step 2: Convert to fraction form
    98,269.88/209,408.63 = 209,408.63/x
  3. Step 3: Cross multiply
    98,269.88x = 209,408.63 × 209,408.63
  4. Step 4: Simplify right side
    98,269.88x = 43,851,972,224.39
  5. Step 5: Solve for x
    x = 43,851,972,224.39/98,269.88
  6. Step 6: Final answer
    x = 446,240.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.