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Finding the Third Proportional to 181,569,770 and 376,059,094

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Solution

The third proportional to 181,569,770 and 376,059,094 is: 778,876,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,770 : 376,059,094 = 376,059,094 : x
  2. Step 2: Convert to fraction form
    181,569,770/376,059,094 = 376,059,094/x
  3. Step 3: Cross multiply
    181,569,770x = 376,059,094 × 376,059,094
  4. Step 4: Simplify right side
    181,569,770x = 141,420,442,180,100,832
  5. Step 5: Solve for x
    x = 141,420,442,180,100,832/181,569,770
  6. Step 6: Final answer
    x = 778,876,583.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.