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Finding the Third Proportional to 235,093,836 and 548,983,683

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Solution

The third proportional to 235,093,836 and 548,983,683 is: 1,281,969,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,093,836 : 548,983,683 = 548,983,683 : x
  2. Step 2: Convert to fraction form
    235,093,836/548,983,683 = 548,983,683/x
  3. Step 3: Cross multiply
    235,093,836x = 548,983,683 × 548,983,683
  4. Step 4: Simplify right side
    235,093,836x = 301,383,084,200,244,480
  5. Step 5: Solve for x
    x = 301,383,084,200,244,480/235,093,836
  6. Step 6: Final answer
    x = 1,281,969,316.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.