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Finding the Third Proportional to 154,102,350 and 211,311,764

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Solution

The third proportional to 154,102,350 and 211,311,764 is: 289,759,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102,350 : 211,311,764 = 211,311,764 : x
  2. Step 2: Convert to fraction form
    154,102,350/211,311,764 = 211,311,764/x
  3. Step 3: Cross multiply
    154,102,350x = 211,311,764 × 211,311,764
  4. Step 4: Simplify right side
    154,102,350x = 44,652,661,604,791,696
  5. Step 5: Solve for x
    x = 44,652,661,604,791,696/154,102,350
  6. Step 6: Final answer
    x = 289,759,770.73

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Why These Related Problems?

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