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Finding the Third Proportional to 96,774.84 and 208,380.28

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Solution

The third proportional to 96,774.84 and 208,380.28 is: 448,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.84 : 208,380.28 = 208,380.28 : x
  2. Step 2: Convert to fraction form
    96,774.84/208,380.28 = 208,380.28/x
  3. Step 3: Cross multiply
    96,774.84x = 208,380.28 × 208,380.28
  4. Step 4: Simplify right side
    96,774.84x = 43,422,341,613.83
  5. Step 5: Solve for x
    x = 43,422,341,613.83/96,774.84
  6. Step 6: Final answer
    x = 448,694.52

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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.