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Finding the Third Proportional to 117,316,848 and 177,485,232

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Solution

The third proportional to 117,316,848 and 177,485,232 is: 268,512,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,848 : 177,485,232 = 177,485,232 : x
  2. Step 2: Convert to fraction form
    117,316,848/177,485,232 = 177,485,232/x
  3. Step 3: Cross multiply
    117,316,848x = 177,485,232 × 177,485,232
  4. Step 4: Simplify right side
    117,316,848x = 31,501,007,578,093,824
  5. Step 5: Solve for x
    x = 31,501,007,578,093,824/117,316,848
  6. Step 6: Final answer
    x = 268,512,222.37

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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.