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Finding the Third Proportional to 94,588 and 197,937

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Solution

The third proportional to 94,588 and 197,937 is: 414,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,588 : 197,937 = 197,937 : x
  2. Step 2: Convert to fraction form
    94,588/197,937 = 197,937/x
  3. Step 3: Cross multiply
    94,588x = 197,937 × 197,937
  4. Step 4: Simplify right side
    94,588x = 39,179,055,969
  5. Step 5: Solve for x
    x = 39,179,055,969/94,588
  6. Step 6: Final answer
    x = 414,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.