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Finding the Third Proportional to 229,151,845 and 468,893,151

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Solution

The third proportional to 229,151,845 and 468,893,151 is: 959,454,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,845 : 468,893,151 = 468,893,151 : x
  2. Step 2: Convert to fraction form
    229,151,845/468,893,151 = 468,893,151/x
  3. Step 3: Cross multiply
    229,151,845x = 468,893,151 × 468,893,151
  4. Step 4: Simplify right side
    229,151,845x = 219,860,787,054,708,800
  5. Step 5: Solve for x
    x = 219,860,787,054,708,800/229,151,845
  6. Step 6: Final answer
    x = 959,454,579.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.