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Finding the Third Proportional to 193,947,696 and 430,942,194

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Solution

The third proportional to 193,947,696 and 430,942,194 is: 957,532,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,947,696 : 430,942,194 = 430,942,194 : x
  2. Step 2: Convert to fraction form
    193,947,696/430,942,194 = 430,942,194/x
  3. Step 3: Cross multiply
    193,947,696x = 430,942,194 × 430,942,194
  4. Step 4: Simplify right side
    193,947,696x = 185,711,174,569,533,632
  5. Step 5: Solve for x
    x = 185,711,174,569,533,632/193,947,696
  6. Step 6: Final answer
    x = 957,532,254.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.