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Finding the Third Proportional to 181,589,274 and 254,805,738

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Solution

The third proportional to 181,589,274 and 254,805,738 is: 357,542,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,589,274 : 254,805,738 = 254,805,738 : x
  2. Step 2: Convert to fraction form
    181,589,274/254,805,738 = 254,805,738/x
  3. Step 3: Cross multiply
    181,589,274x = 254,805,738 × 254,805,738
  4. Step 4: Simplify right side
    181,589,274x = 64,925,964,117,724,640
  5. Step 5: Solve for x
    x = 64,925,964,117,724,640/181,589,274
  6. Step 6: Final answer
    x = 357,542,946.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.