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Finding the Third Proportional to 96,790 and 208,409

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Solution

The third proportional to 96,790 and 208,409 is: 448,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,790 : 208,409 = 208,409 : x
  2. Step 2: Convert to fraction form
    96,790/208,409 = 208,409/x
  3. Step 3: Cross multiply
    96,790x = 208,409 × 208,409
  4. Step 4: Simplify right side
    96,790x = 43,434,311,281
  5. Step 5: Solve for x
    x = 43,434,311,281/96,790
  6. Step 6: Final answer
    x = 448,747.92

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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.