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Finding the Third Proportional to 226,741,684 and 340,053,558

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Solution

The third proportional to 226,741,684 and 340,053,558 is: 509,991,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741,684 : 340,053,558 = 340,053,558 : x
  2. Step 2: Convert to fraction form
    226,741,684/340,053,558 = 340,053,558/x
  3. Step 3: Cross multiply
    226,741,684x = 340,053,558 × 340,053,558
  4. Step 4: Simplify right side
    226,741,684x = 115,636,422,308,459,360
  5. Step 5: Solve for x
    x = 115,636,422,308,459,360/226,741,684
  6. Step 6: Final answer
    x = 509,991,900.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.