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Finding the Third Proportional to 97,022.81 and 211,131.56

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Solution

The third proportional to 97,022.81 and 211,131.56 is: 459,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,022.81 : 211,131.56 = 211,131.56 : x
  2. Step 2: Convert to fraction form
    97,022.81/211,131.56 = 211,131.56/x
  3. Step 3: Cross multiply
    97,022.81x = 211,131.56 × 211,131.56
  4. Step 4: Simplify right side
    97,022.81x = 44,576,536,683.69
  5. Step 5: Solve for x
    x = 44,576,536,683.69/97,022.81
  6. Step 6: Final answer
    x = 459,443.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.