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Finding the Third Proportional to 96,676 and 214,088

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Solution

The third proportional to 96,676 and 214,088 is: 474,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,676 : 214,088 = 214,088 : x
  2. Step 2: Convert to fraction form
    96,676/214,088 = 214,088/x
  3. Step 3: Cross multiply
    96,676x = 214,088 × 214,088
  4. Step 4: Simplify right side
    96,676x = 45,833,671,744
  5. Step 5: Solve for x
    x = 45,833,671,744/96,676
  6. Step 6: Final answer
    x = 474,095.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.