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Finding the Third Proportional to 229,151,843.25 and 468,893,147.25

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Solution

The third proportional to 229,151,843.25 and 468,893,147.25 is: 959,454,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,843.25 : 468,893,147.25 = 468,893,147.25 : x
  2. Step 2: Convert to fraction form
    229,151,843.25/468,893,147.25 = 468,893,147.25/x
  3. Step 3: Cross multiply
    229,151,843.25x = 468,893,147.25 × 468,893,147.25
  4. Step 4: Simplify right side
    229,151,843.25x = 219,860,783,538,010,176
  5. Step 5: Solve for x
    x = 219,860,783,538,010,176/229,151,843.25
  6. Step 6: Final answer
    x = 959,454,571.34

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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.