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Finding the Third Proportional to 255,902,832 and 552,582,160

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Solution

The third proportional to 255,902,832 and 552,582,160 is: 1,193,214,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902,832 : 552,582,160 = 552,582,160 : x
  2. Step 2: Convert to fraction form
    255,902,832/552,582,160 = 552,582,160/x
  3. Step 3: Cross multiply
    255,902,832x = 552,582,160 × 552,582,160
  4. Step 4: Simplify right side
    255,902,832x = 305,347,043,550,265,600
  5. Step 5: Solve for x
    x = 305,347,043,550,265,600/255,902,832
  6. Step 6: Final answer
    x = 1,193,214,788.46

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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.