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Finding the Third Proportional to 49,578.50 and 96,666

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Solution

The third proportional to 49,578.50 and 96,666 is: 188,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.50 : 96,666 = 96,666 : x
  2. Step 2: Convert to fraction form
    49,578.50/96,666 = 96,666/x
  3. Step 3: Cross multiply
    49,578.50x = 96,666 × 96,666
  4. Step 4: Simplify right side
    49,578.50x = 9,344,315,556
  5. Step 5: Solve for x
    x = 9,344,315,556/49,578.50
  6. Step 6: Final answer
    x = 188,475.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.