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Finding the Third Proportional to 181,704,469 and 396,295,546

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Solution

The third proportional to 181,704,469 and 396,295,546 is: 864,316,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,704,469 : 396,295,546 = 396,295,546 : x
  2. Step 2: Convert to fraction form
    181,704,469/396,295,546 = 396,295,546/x
  3. Step 3: Cross multiply
    181,704,469x = 396,295,546 × 396,295,546
  4. Step 4: Simplify right side
    181,704,469x = 157,050,159,779,438,112
  5. Step 5: Solve for x
    x = 157,050,159,779,438,112/181,704,469
  6. Step 6: Final answer
    x = 864,316,440.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.