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Finding the Third Proportional to 45,466.88 and 98,709.75

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Solution

The third proportional to 45,466.88 and 98,709.75 is: 214,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,466.88 : 98,709.75 = 98,709.75 : x
  2. Step 2: Convert to fraction form
    45,466.88/98,709.75 = 98,709.75/x
  3. Step 3: Cross multiply
    45,466.88x = 98,709.75 × 98,709.75
  4. Step 4: Simplify right side
    45,466.88x = 9,743,614,745.06
  5. Step 5: Solve for x
    x = 9,743,614,745.06/45,466.88
  6. Step 6: Final answer
    x = 214,301.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.