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Finding the Third Proportional to 70,905,264 and 154,233,777

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Solution

The third proportional to 70,905,264 and 154,233,777 is: 335,490,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905,264 : 154,233,777 = 154,233,777 : x
  2. Step 2: Convert to fraction form
    70,905,264/154,233,777 = 154,233,777/x
  3. Step 3: Cross multiply
    70,905,264x = 154,233,777 × 154,233,777
  4. Step 4: Simplify right side
    70,905,264x = 23,788,057,967,685,728
  5. Step 5: Solve for x
    x = 23,788,057,967,685,728/70,905,264
  6. Step 6: Final answer
    x = 335,490,718.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.