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Finding the Third Proportional to 193,947,759 and 430,942,301

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Solution

The third proportional to 193,947,759 and 430,942,301 is: 957,532,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,947,759 : 430,942,301 = 430,942,301 : x
  2. Step 2: Convert to fraction form
    193,947,759/430,942,301 = 430,942,301/x
  3. Step 3: Cross multiply
    193,947,759x = 430,942,301 × 430,942,301
  4. Step 4: Simplify right side
    193,947,759x = 185,711,266,791,174,592
  5. Step 5: Solve for x
    x = 185,711,266,791,174,592/193,947,759
  6. Step 6: Final answer
    x = 957,532,418.77

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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.