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Finding the Third Proportional to 97,636 and 213,176

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Solution

The third proportional to 97,636 and 213,176 is: 465,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,636 : 213,176 = 213,176 : x
  2. Step 2: Convert to fraction form
    97,636/213,176 = 213,176/x
  3. Step 3: Cross multiply
    97,636x = 213,176 × 213,176
  4. Step 4: Simplify right side
    97,636x = 45,444,006,976
  5. Step 5: Solve for x
    x = 45,444,006,976/97,636
  6. Step 6: Final answer
    x = 465,443.15

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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.