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Finding the Third Proportional to 153,942,116 and 331,946,728

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Solution

The third proportional to 153,942,116 and 331,946,728 is: 715,779,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,942,116 : 331,946,728 = 331,946,728 : x
  2. Step 2: Convert to fraction form
    153,942,116/331,946,728 = 331,946,728/x
  3. Step 3: Cross multiply
    153,942,116x = 331,946,728 × 331,946,728
  4. Step 4: Simplify right side
    153,942,116x = 110,188,630,229,905,984
  5. Step 5: Solve for x
    x = 110,188,630,229,905,984/153,942,116
  6. Step 6: Final answer
    x = 715,779,626.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.