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Finding the Third Proportional to 96,791 and 208,411

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Solution

The third proportional to 96,791 and 208,411 is: 448,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,791 : 208,411 = 208,411 : x
  2. Step 2: Convert to fraction form
    96,791/208,411 = 208,411/x
  3. Step 3: Cross multiply
    96,791x = 208,411 × 208,411
  4. Step 4: Simplify right side
    96,791x = 43,435,144,921
  5. Step 5: Solve for x
    x = 43,435,144,921/96,791
  6. Step 6: Final answer
    x = 448,751.90

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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.