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Finding the Third Proportional to 98,665.50 and 209,628

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Solution

The third proportional to 98,665.50 and 209,628 is: 445,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,665.50 : 209,628 = 209,628 : x
  2. Step 2: Convert to fraction form
    98,665.50/209,628 = 209,628/x
  3. Step 3: Cross multiply
    98,665.50x = 209,628 × 209,628
  4. Step 4: Simplify right side
    98,665.50x = 43,943,898,384
  5. Step 5: Solve for x
    x = 43,943,898,384/98,665.50
  6. Step 6: Final answer
    x = 445,382.61

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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.