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Finding the Third Proportional to 263,590,129 and 548,997,158

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Solution

The third proportional to 263,590,129 and 548,997,158 is: 1,143,433,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,590,129 : 548,997,158 = 548,997,158 : x
  2. Step 2: Convert to fraction form
    263,590,129/548,997,158 = 548,997,158/x
  3. Step 3: Cross multiply
    263,590,129x = 548,997,158 × 548,997,158
  4. Step 4: Simplify right side
    263,590,129x = 301,397,879,492,076,992
  5. Step 5: Solve for x
    x = 301,397,879,492,076,992/263,590,129
  6. Step 6: Final answer
    x = 1,143,433,863.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.