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Finding the Third Proportional to 181,684,774 and 398,541,226

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Solution

The third proportional to 181,684,774 and 398,541,226 is: 874,234,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,774 : 398,541,226 = 398,541,226 : x
  2. Step 2: Convert to fraction form
    181,684,774/398,541,226 = 398,541,226/x
  3. Step 3: Cross multiply
    181,684,774x = 398,541,226 × 398,541,226
  4. Step 4: Simplify right side
    181,684,774x = 158,835,108,821,583,072
  5. Step 5: Solve for x
    x = 158,835,108,821,583,072/181,684,774
  6. Step 6: Final answer
    x = 874,234,562.01

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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.