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Finding the Third Proportional to 213,014.81 and 459,244.69

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Solution

The third proportional to 213,014.81 and 459,244.69 is: 990,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,014.81 : 459,244.69 = 459,244.69 : x
  2. Step 2: Convert to fraction form
    213,014.81/459,244.69 = 459,244.69/x
  3. Step 3: Cross multiply
    213,014.81x = 459,244.69 × 459,244.69
  4. Step 4: Simplify right side
    213,014.81x = 210,905,682,996.97
  5. Step 5: Solve for x
    x = 210,905,682,996.97/213,014.81
  6. Step 6: Final answer
    x = 990,098.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.