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Finding the Third Proportional to 229,215,874 and 494,731,220

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Solution

The third proportional to 229,215,874 and 494,731,220 is: 1,067,809,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,215,874 : 494,731,220 = 494,731,220 : x
  2. Step 2: Convert to fraction form
    229,215,874/494,731,220 = 494,731,220/x
  3. Step 3: Cross multiply
    229,215,874x = 494,731,220 × 494,731,220
  4. Step 4: Simplify right side
    229,215,874x = 244,758,980,042,688,384
  5. Step 5: Solve for x
    x = 244,758,980,042,688,384/229,215,874
  6. Step 6: Final answer
    x = 1,067,809,902.39

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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.