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Finding the Third Proportional to 193,947,349 and 430,941,413

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Solution

The third proportional to 193,947,349 and 430,941,413 is: 957,530,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,947,349 : 430,941,413 = 430,941,413 : x
  2. Step 2: Convert to fraction form
    193,947,349/430,941,413 = 430,941,413/x
  3. Step 3: Cross multiply
    193,947,349x = 430,941,413 × 430,941,413
  4. Step 4: Simplify right side
    193,947,349x = 185,710,501,438,436,576
  5. Step 5: Solve for x
    x = 185,710,501,438,436,576/193,947,349
  6. Step 6: Final answer
    x = 957,530,496.79

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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.