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Finding the Third Proportional to 97,635 and 213,951

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Solution

The third proportional to 97,635 and 213,951 is: 468,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,635 : 213,951 = 213,951 : x
  2. Step 2: Convert to fraction form
    97,635/213,951 = 213,951/x
  3. Step 3: Cross multiply
    97,635x = 213,951 × 213,951
  4. Step 4: Simplify right side
    97,635x = 45,775,030,401
  5. Step 5: Solve for x
    x = 45,775,030,401/97,635
  6. Step 6: Final answer
    x = 468,838.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.