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Finding the Third Proportional to 74,134,503 and 154,405,074

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Solution

The third proportional to 74,134,503 and 154,405,074 is: 321,590,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134,503 : 154,405,074 = 154,405,074 : x
  2. Step 2: Convert to fraction form
    74,134,503/154,405,074 = 154,405,074/x
  3. Step 3: Cross multiply
    74,134,503x = 154,405,074 × 154,405,074
  4. Step 4: Simplify right side
    74,134,503x = 23,840,926,876,945,476
  5. Step 5: Solve for x
    x = 23,840,926,876,945,476/74,134,503
  6. Step 6: Final answer
    x = 321,590,162.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.