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Finding the Third Proportional to 96,559.50 and 201,939

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Solution

The third proportional to 96,559.50 and 201,939 is: 422,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,559.50 : 201,939 = 201,939 : x
  2. Step 2: Convert to fraction form
    96,559.50/201,939 = 201,939/x
  3. Step 3: Cross multiply
    96,559.50x = 201,939 × 201,939
  4. Step 4: Simplify right side
    96,559.50x = 40,779,359,721
  5. Step 5: Solve for x
    x = 40,779,359,721/96,559.50
  6. Step 6: Final answer
    x = 422,323.64

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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.