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Finding the Third Proportional to 70,905,137 and 154,233,586

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Solution

The third proportional to 70,905,137 and 154,233,586 is: 335,490,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905,137 : 154,233,586 = 154,233,586 : x
  2. Step 2: Convert to fraction form
    70,905,137/154,233,586 = 154,233,586/x
  3. Step 3: Cross multiply
    70,905,137x = 154,233,586 × 154,233,586
  4. Step 4: Simplify right side
    70,905,137x = 23,787,999,050,419,396
  5. Step 5: Solve for x
    x = 23,787,999,050,419,396/70,905,137
  6. Step 6: Final answer
    x = 335,490,488.52

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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.