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Finding the Third Proportional to 96,825 and 208,482

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Solution

The third proportional to 96,825 and 208,482 is: 448,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,825 : 208,482 = 208,482 : x
  2. Step 2: Convert to fraction form
    96,825/208,482 = 208,482/x
  3. Step 3: Cross multiply
    96,825x = 208,482 × 208,482
  4. Step 4: Simplify right side
    96,825x = 43,464,744,324
  5. Step 5: Solve for x
    x = 43,464,744,324/96,825
  6. Step 6: Final answer
    x = 448,900.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.