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Finding the Third Proportional to 45,986 and 98,083

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Solution

The third proportional to 45,986 and 98,083 is: 209,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,986 : 98,083 = 98,083 : x
  2. Step 2: Convert to fraction form
    45,986/98,083 = 98,083/x
  3. Step 3: Cross multiply
    45,986x = 98,083 × 98,083
  4. Step 4: Simplify right side
    45,986x = 9,620,274,889
  5. Step 5: Solve for x
    x = 9,620,274,889/45,986
  6. Step 6: Final answer
    x = 209,200.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.