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Finding the Third Proportional to 193,947,755 and 430,942,294

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Solution

The third proportional to 193,947,755 and 430,942,294 is: 957,532,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,947,755 : 430,942,294 = 430,942,294 : x
  2. Step 2: Convert to fraction form
    193,947,755/430,942,294 = 430,942,294/x
  3. Step 3: Cross multiply
    193,947,755x = 430,942,294 × 430,942,294
  4. Step 4: Simplify right side
    193,947,755x = 185,711,260,757,982,432
  5. Step 5: Solve for x
    x = 185,711,260,757,982,432/193,947,755
  6. Step 6: Final answer
    x = 957,532,407.42

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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.