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Finding the Third Proportional to 255,903,204 and 552,583,407

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Solution

The third proportional to 255,903,204 and 552,583,407 is: 1,193,218,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903,204 : 552,583,407 = 552,583,407 : x
  2. Step 2: Convert to fraction form
    255,903,204/552,583,407 = 552,583,407/x
  3. Step 3: Cross multiply
    255,903,204x = 552,583,407 × 552,583,407
  4. Step 4: Simplify right side
    255,903,204x = 305,348,421,691,727,680
  5. Step 5: Solve for x
    x = 305,348,421,691,727,680/255,903,204
  6. Step 6: Final answer
    x = 1,193,218,439.31

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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.