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Finding the Third Proportional to 196,591,336.50 and 305,245,525.50

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Solution

The third proportional to 196,591,336.50 and 305,245,525.50 is: 473,951,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,591,336.50 : 305,245,525.50 = 305,245,525.50 : x
  2. Step 2: Convert to fraction form
    196,591,336.50/305,245,525.50 = 305,245,525.50/x
  3. Step 3: Cross multiply
    196,591,336.50x = 305,245,525.50 × 305,245,525.50
  4. Step 4: Simplify right side
    196,591,336.50x = 93,174,830,837,771,152
  5. Step 5: Solve for x
    x = 93,174,830,837,771,152/196,591,336.50
  6. Step 6: Final answer
    x = 473,951,866.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.