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Finding the Third Proportional to 97,036 and 213,116

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Solution

The third proportional to 97,036 and 213,116 is: 468,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,036 : 213,116 = 213,116 : x
  2. Step 2: Convert to fraction form
    97,036/213,116 = 213,116/x
  3. Step 3: Cross multiply
    97,036x = 213,116 × 213,116
  4. Step 4: Simplify right side
    97,036x = 45,418,429,456
  5. Step 5: Solve for x
    x = 45,418,429,456/97,036
  6. Step 6: Final answer
    x = 468,057.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.