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Finding the Third Proportional to 96,669 and 212,935

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Solution

The third proportional to 96,669 and 212,935 is: 469,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,669 : 212,935 = 212,935 : x
  2. Step 2: Convert to fraction form
    96,669/212,935 = 212,935/x
  3. Step 3: Cross multiply
    96,669x = 212,935 × 212,935
  4. Step 4: Simplify right side
    96,669x = 45,341,314,225
  5. Step 5: Solve for x
    x = 45,341,314,225/96,669
  6. Step 6: Final answer
    x = 469,036.76

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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.