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Finding the Third Proportional to 105,844,596 and 227,905,068

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Solution

The third proportional to 105,844,596 and 227,905,068 is: 490,726,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844,596 : 227,905,068 = 227,905,068 : x
  2. Step 2: Convert to fraction form
    105,844,596/227,905,068 = 227,905,068/x
  3. Step 3: Cross multiply
    105,844,596x = 227,905,068 × 227,905,068
  4. Step 4: Simplify right side
    105,844,596x = 51,940,720,020,084,624
  5. Step 5: Solve for x
    x = 51,940,720,020,084,624/105,844,596
  6. Step 6: Final answer
    x = 490,726,234.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.