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Finding the Third Proportional to 98,860.08 and 204,732.98

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Solution

The third proportional to 98,860.08 and 204,732.98 is: 423,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,860.08 : 204,732.98 = 204,732.98 : x
  2. Step 2: Convert to fraction form
    98,860.08/204,732.98 = 204,732.98/x
  3. Step 3: Cross multiply
    98,860.08x = 204,732.98 × 204,732.98
  4. Step 4: Simplify right side
    98,860.08x = 41,915,594,891.09
  5. Step 5: Solve for x
    x = 41,915,594,891.09/98,860.08
  6. Step 6: Final answer
    x = 423,989.09

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.