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Finding the Third Proportional to 181,720,053 and 396,743,743

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Solution

The third proportional to 181,720,053 and 396,743,743 is: 866,198,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,720,053 : 396,743,743 = 396,743,743 : x
  2. Step 2: Convert to fraction form
    181,720,053/396,743,743 = 396,743,743/x
  3. Step 3: Cross multiply
    181,720,053x = 396,743,743 × 396,743,743
  4. Step 4: Simplify right side
    181,720,053x = 157,405,597,609,650,048
  5. Step 5: Solve for x
    x = 157,405,597,609,650,048/181,720,053
  6. Step 6: Final answer
    x = 866,198,281.43

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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.