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Finding the Third Proportional to 204,545,844 and 307,054,968

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Solution

The third proportional to 204,545,844 and 307,054,968 is: 460,937,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,545,844 : 307,054,968 = 307,054,968 : x
  2. Step 2: Convert to fraction form
    204,545,844/307,054,968 = 307,054,968/x
  3. Step 3: Cross multiply
    204,545,844x = 307,054,968 × 307,054,968
  4. Step 4: Simplify right side
    204,545,844x = 94,282,753,373,481,024
  5. Step 5: Solve for x
    x = 94,282,753,373,481,024/204,545,844
  6. Step 6: Final answer
    x = 460,937,027.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.