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Finding the Third Proportional to 154,102,346 and 211,311,759

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Solution

The third proportional to 154,102,346 and 211,311,759 is: 289,759,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102,346 : 211,311,759 = 211,311,759 : x
  2. Step 2: Convert to fraction form
    154,102,346/211,311,759 = 211,311,759/x
  3. Step 3: Cross multiply
    154,102,346x = 211,311,759 × 211,311,759
  4. Step 4: Simplify right side
    154,102,346x = 44,652,659,491,674,080
  5. Step 5: Solve for x
    x = 44,652,659,491,674,080/154,102,346
  6. Step 6: Final answer
    x = 289,759,764.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.