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Finding the Third Proportional to 117,317,001 and 177,485,463

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Solution

The third proportional to 117,317,001 and 177,485,463 is: 268,512,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,317,001 : 177,485,463 = 177,485,463 : x
  2. Step 2: Convert to fraction form
    117,317,001/177,485,463 = 177,485,463/x
  3. Step 3: Cross multiply
    117,317,001x = 177,485,463 × 177,485,463
  4. Step 4: Simplify right side
    117,317,001x = 31,501,089,576,324,368
  5. Step 5: Solve for x
    x = 31,501,089,576,324,368/117,317,001
  6. Step 6: Final answer
    x = 268,512,571.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.