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Finding the Third Proportional to 77,197.22 and 165,096.56

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Solution

The third proportional to 77,197.22 and 165,096.56 is: 353,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.22 : 165,096.56 = 165,096.56 : x
  2. Step 2: Convert to fraction form
    77,197.22/165,096.56 = 165,096.56/x
  3. Step 3: Cross multiply
    77,197.22x = 165,096.56 × 165,096.56
  4. Step 4: Simplify right side
    77,197.22x = 27,256,874,949.32
  5. Step 5: Solve for x
    x = 27,256,874,949.32/77,197.22
  6. Step 6: Final answer
    x = 353,081.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.