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Finding the Third Proportional to 90,643 and 194,407

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Solution

The third proportional to 90,643 and 194,407 is: 416,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643 : 194,407 = 194,407 : x
  2. Step 2: Convert to fraction form
    90,643/194,407 = 194,407/x
  3. Step 3: Cross multiply
    90,643x = 194,407 × 194,407
  4. Step 4: Simplify right side
    90,643x = 37,794,081,649
  5. Step 5: Solve for x
    x = 37,794,081,649/90,643
  6. Step 6: Final answer
    x = 416,955.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.