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Finding the Third Proportional to 113,967,220.50 and 231,958,764

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Solution

The third proportional to 113,967,220.50 and 231,958,764 is: 472,108,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967,220.50 : 231,958,764 = 231,958,764 : x
  2. Step 2: Convert to fraction form
    113,967,220.50/231,958,764 = 231,958,764/x
  3. Step 3: Cross multiply
    113,967,220.50x = 231,958,764 × 231,958,764
  4. Step 4: Simplify right side
    113,967,220.50x = 53,804,868,196,407,696
  5. Step 5: Solve for x
    x = 53,804,868,196,407,696/113,967,220.50
  6. Step 6: Final answer
    x = 472,108,277.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.