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Finding the Third Proportional to 117,639,776 and 177,972,667

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Solution

The third proportional to 117,639,776 and 177,972,667 is: 269,247,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639,776 : 177,972,667 = 177,972,667 : x
  2. Step 2: Convert to fraction form
    117,639,776/177,972,667 = 177,972,667/x
  3. Step 3: Cross multiply
    117,639,776x = 177,972,667 × 177,972,667
  4. Step 4: Simplify right side
    117,639,776x = 31,674,270,199,092,888
  5. Step 5: Solve for x
    x = 31,674,270,199,092,888/117,639,776
  6. Step 6: Final answer
    x = 269,247,964.22

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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.