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Finding the Third Proportional to 96,384 and 208,858

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Solution

The third proportional to 96,384 and 208,858 is: 452,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384 : 208,858 = 208,858 : x
  2. Step 2: Convert to fraction form
    96,384/208,858 = 208,858/x
  3. Step 3: Cross multiply
    96,384x = 208,858 × 208,858
  4. Step 4: Simplify right side
    96,384x = 43,621,664,164
  5. Step 5: Solve for x
    x = 43,621,664,164/96,384
  6. Step 6: Final answer
    x = 452,582.01

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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.