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Finding the Third Proportional to 96,595 and 208,498

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Solution

The third proportional to 96,595 and 208,498 is: 450,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,595 : 208,498 = 208,498 : x
  2. Step 2: Convert to fraction form
    96,595/208,498 = 208,498/x
  3. Step 3: Cross multiply
    96,595x = 208,498 × 208,498
  4. Step 4: Simplify right side
    96,595x = 43,471,416,004
  5. Step 5: Solve for x
    x = 43,471,416,004/96,595
  6. Step 6: Final answer
    x = 450,037.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.