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Finding the Third Proportional to 229,215,872 and 494,731,216

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Solution

The third proportional to 229,215,872 and 494,731,216 is: 1,067,809,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,215,872 : 494,731,216 = 494,731,216 : x
  2. Step 2: Convert to fraction form
    229,215,872/494,731,216 = 494,731,216/x
  3. Step 3: Cross multiply
    229,215,872x = 494,731,216 × 494,731,216
  4. Step 4: Simplify right side
    229,215,872x = 244,758,976,084,838,656
  5. Step 5: Solve for x
    x = 244,758,976,084,838,656/229,215,872
  6. Step 6: Final answer
    x = 1,067,809,894.44

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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.