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Finding the Third Proportional to 154,071,790 and 313,524,412

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Solution

The third proportional to 154,071,790 and 313,524,412 is: 637,998,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,071,790 : 313,524,412 = 313,524,412 : x
  2. Step 2: Convert to fraction form
    154,071,790/313,524,412 = 313,524,412/x
  3. Step 3: Cross multiply
    154,071,790x = 313,524,412 × 313,524,412
  4. Step 4: Simplify right side
    154,071,790x = 98,297,556,919,945,744
  5. Step 5: Solve for x
    x = 98,297,556,919,945,744/154,071,790
  6. Step 6: Final answer
    x = 637,998,409.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.