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Finding the Third Proportional to 97,634 and 212,116

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Solution

The third proportional to 97,634 and 212,116 is: 460,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,634 : 212,116 = 212,116 : x
  2. Step 2: Convert to fraction form
    97,634/212,116 = 212,116/x
  3. Step 3: Cross multiply
    97,634x = 212,116 × 212,116
  4. Step 4: Simplify right side
    97,634x = 44,993,197,456
  5. Step 5: Solve for x
    x = 44,993,197,456/97,634
  6. Step 6: Final answer
    x = 460,835.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.