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Finding the Third Proportional to 196,438,986 and 427,753,792

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Solution

The third proportional to 196,438,986 and 427,753,792 is: 931,451,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,986 : 427,753,792 = 427,753,792 : x
  2. Step 2: Convert to fraction form
    196,438,986/427,753,792 = 427,753,792/x
  3. Step 3: Cross multiply
    196,438,986x = 427,753,792 × 427,753,792
  4. Step 4: Simplify right side
    196,438,986x = 182,973,306,570,379,264
  5. Step 5: Solve for x
    x = 182,973,306,570,379,264/196,438,986
  6. Step 6: Final answer
    x = 931,451,084.62

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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.