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Finding the Third Proportional to 204,106,236 and 315,184,009

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Solution

The third proportional to 204,106,236 and 315,184,009 is: 486,712,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,106,236 : 315,184,009 = 315,184,009 : x
  2. Step 2: Convert to fraction form
    204,106,236/315,184,009 = 315,184,009/x
  3. Step 3: Cross multiply
    204,106,236x = 315,184,009 × 315,184,009
  4. Step 4: Simplify right side
    204,106,236x = 99,340,959,529,312,080
  5. Step 5: Solve for x
    x = 99,340,959,529,312,080/204,106,236
  6. Step 6: Final answer
    x = 486,712,025.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.