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Finding the Third Proportional to 185,946,394.50 and 405,373,617.56

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Solution

The third proportional to 185,946,394.50 and 405,373,617.56 is: 883,737,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,394.50 : 405,373,617.56 = 405,373,617.56 : x
  2. Step 2: Convert to fraction form
    185,946,394.50/405,373,617.56 = 405,373,617.56/x
  3. Step 3: Cross multiply
    185,946,394.50x = 405,373,617.56 × 405,373,617.56
  4. Step 4: Simplify right side
    185,946,394.50x = 164,327,769,815,708,000
  5. Step 5: Solve for x
    x = 164,327,769,815,708,000/185,946,394.50
  6. Step 6: Final answer
    x = 883,737,327.94

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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.