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Finding the Third Proportional to 194,921,328 and 433,414,608

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Solution

The third proportional to 194,921,328 and 433,414,608 is: 963,713,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,921,328 : 433,414,608 = 433,414,608 : x
  2. Step 2: Convert to fraction form
    194,921,328/433,414,608 = 433,414,608/x
  3. Step 3: Cross multiply
    194,921,328x = 433,414,608 × 433,414,608
  4. Step 4: Simplify right side
    194,921,328x = 187,848,222,427,793,664
  5. Step 5: Solve for x
    x = 187,848,222,427,793,664/194,921,328
  6. Step 6: Final answer
    x = 963,713,023.89

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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.