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Finding the Third Proportional to 98.81 and 210

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Solution

The third proportional to 98.81 and 210 is: 446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.81 : 210 = 210 : x
  2. Step 2: Convert to fraction form
    98.81/210 = 210/x
  3. Step 3: Cross multiply
    98.81x = 210 × 210
  4. Step 4: Simplify right side
    98.81x = 44,100
  5. Step 5: Solve for x
    x = 44,100/98.81
  6. Step 6: Final answer
    x = 446.30

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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.