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Finding the Third Proportional to 73,790,768 and 161,482,100

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Solution

The third proportional to 73,790,768 and 161,482,100 is: 353,383,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,790,768 : 161,482,100 = 161,482,100 : x
  2. Step 2: Convert to fraction form
    73,790,768/161,482,100 = 161,482,100/x
  3. Step 3: Cross multiply
    73,790,768x = 161,482,100 × 161,482,100
  4. Step 4: Simplify right side
    73,790,768x = 26,076,468,620,410,000
  5. Step 5: Solve for x
    x = 26,076,468,620,410,000/73,790,768
  6. Step 6: Final answer
    x = 353,383,889.71

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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.