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Finding the Third Proportional to 197,201,692 and 307,740,774

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Solution

The third proportional to 197,201,692 and 307,740,774 is: 480,241,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,692 : 307,740,774 = 307,740,774 : x
  2. Step 2: Convert to fraction form
    197,201,692/307,740,774 = 307,740,774/x
  3. Step 3: Cross multiply
    197,201,692x = 307,740,774 × 307,740,774
  4. Step 4: Simplify right side
    197,201,692x = 94,704,383,982,119,072
  5. Step 5: Solve for x
    x = 94,704,383,982,119,072/197,201,692
  6. Step 6: Final answer
    x = 480,241,234.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.