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Finding the Third Proportional to 232,449,897.75 and 505,758,901.41

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Solution

The third proportional to 232,449,897.75 and 505,758,901.41 is: 1,100,418,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,449,897.75 : 505,758,901.41 = 505,758,901.41 : x
  2. Step 2: Convert to fraction form
    232,449,897.75/505,758,901.41 = 505,758,901.41/x
  3. Step 3: Cross multiply
    232,449,897.75x = 505,758,901.41 × 505,758,901.41
  4. Step 4: Simplify right side
    232,449,897.75x = 255,792,066,351,656,896
  5. Step 5: Solve for x
    x = 255,792,066,351,656,896/232,449,897.75
  6. Step 6: Final answer
    x = 1,100,418,063.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.