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Finding the Third Proportional to 49,858,219.50 and 76,588,324.50

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Solution

The third proportional to 49,858,219.50 and 76,588,324.50 is: 117,649,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,219.50 : 76,588,324.50 = 76,588,324.50 : x
  2. Step 2: Convert to fraction form
    49,858,219.50/76,588,324.50 = 76,588,324.50/x
  3. Step 3: Cross multiply
    49,858,219.50x = 76,588,324.50 × 76,588,324.50
  4. Step 4: Simplify right side
    49,858,219.50x = 5,865,771,449,717,300
  5. Step 5: Solve for x
    x = 5,865,771,449,717,300/49,858,219.50
  6. Step 6: Final answer
    x = 117,649,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.