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Finding the Third Proportional to 228,446,896 and 343,176,752

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Solution

The third proportional to 228,446,896 and 343,176,752 is: 515,525,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,446,896 : 343,176,752 = 343,176,752 : x
  2. Step 2: Convert to fraction form
    228,446,896/343,176,752 = 343,176,752/x
  3. Step 3: Cross multiply
    228,446,896x = 343,176,752 × 343,176,752
  4. Step 4: Simplify right side
    228,446,896x = 117,770,283,113,269,504
  5. Step 5: Solve for x
    x = 117,770,283,113,269,504/228,446,896
  6. Step 6: Final answer
    x = 515,525,862.58

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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.