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Finding the Third Proportional to 196,438,976 and 427,753,772

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Solution

The third proportional to 196,438,976 and 427,753,772 is: 931,451,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,976 : 427,753,772 = 427,753,772 : x
  2. Step 2: Convert to fraction form
    196,438,976/427,753,772 = 427,753,772/x
  3. Step 3: Cross multiply
    196,438,976x = 427,753,772 × 427,753,772
  4. Step 4: Simplify right side
    196,438,976x = 182,973,289,460,227,968
  5. Step 5: Solve for x
    x = 182,973,289,460,227,968/196,438,976
  6. Step 6: Final answer
    x = 931,451,044.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.