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Finding the Third Proportional to 196,770,532.50 and 430,609,255.50

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Solution

The third proportional to 196,770,532.50 and 430,609,255.50 is: 942,337,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,770,532.50 : 430,609,255.50 = 430,609,255.50 : x
  2. Step 2: Convert to fraction form
    196,770,532.50/430,609,255.50 = 430,609,255.50/x
  3. Step 3: Cross multiply
    196,770,532.50x = 430,609,255.50 × 430,609,255.50
  4. Step 4: Simplify right side
    196,770,532.50x = 185,424,330,922,264,288
  5. Step 5: Solve for x
    x = 185,424,330,922,264,288/196,770,532.50
  6. Step 6: Final answer
    x = 942,337,902.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.