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Finding the Third Proportional to 98,668.50 and 209,649

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Solution

The third proportional to 98,668.50 and 209,649 is: 445,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,668.50 : 209,649 = 209,649 : x
  2. Step 2: Convert to fraction form
    98,668.50/209,649 = 209,649/x
  3. Step 3: Cross multiply
    98,668.50x = 209,649 × 209,649
  4. Step 4: Simplify right side
    98,668.50x = 43,952,703,201
  5. Step 5: Solve for x
    x = 43,952,703,201/98,668.50
  6. Step 6: Final answer
    x = 445,458.31

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