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Finding the Third Proportional to 43,714.27 and 95,762.67

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Solution

The third proportional to 43,714.27 and 95,762.67 is: 209,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714.27 : 95,762.67 = 95,762.67 : x
  2. Step 2: Convert to fraction form
    43,714.27/95,762.67 = 95,762.67/x
  3. Step 3: Cross multiply
    43,714.27x = 95,762.67 × 95,762.67
  4. Step 4: Simplify right side
    43,714.27x = 9,170,489,324.64
  5. Step 5: Solve for x
    x = 9,170,489,324.64/43,714.27
  6. Step 6: Final answer
    x = 209,782.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.