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Finding the Third Proportional to 196,438,984 and 427,753,788

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Solution

The third proportional to 196,438,984 and 427,753,788 is: 931,451,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,984 : 427,753,788 = 427,753,788 : x
  2. Step 2: Convert to fraction form
    196,438,984/427,753,788 = 427,753,788/x
  3. Step 3: Cross multiply
    196,438,984x = 427,753,788 × 427,753,788
  4. Step 4: Simplify right side
    196,438,984x = 182,973,303,148,348,928
  5. Step 5: Solve for x
    x = 182,973,303,148,348,928/196,438,984
  6. Step 6: Final answer
    x = 931,451,076.68

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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.