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Finding the Third Proportional to 227,434,137 and 325,008,683

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Solution

The third proportional to 227,434,137 and 325,008,683 is: 464,444,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,434,137 : 325,008,683 = 325,008,683 : x
  2. Step 2: Convert to fraction form
    227,434,137/325,008,683 = 325,008,683/x
  3. Step 3: Cross multiply
    227,434,137x = 325,008,683 × 325,008,683
  4. Step 4: Simplify right side
    227,434,137x = 105,630,644,025,394,496
  5. Step 5: Solve for x
    x = 105,630,644,025,394,496/227,434,137
  6. Step 6: Final answer
    x = 464,444,983.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.