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Finding the Third Proportional to 158,729,576 and 340,133,968

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Solution

The third proportional to 158,729,576 and 340,133,968 is: 728,856,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,729,576 : 340,133,968 = 340,133,968 : x
  2. Step 2: Convert to fraction form
    158,729,576/340,133,968 = 340,133,968/x
  3. Step 3: Cross multiply
    158,729,576x = 340,133,968 × 340,133,968
  4. Step 4: Simplify right side
    158,729,576x = 115,691,116,187,425,024
  5. Step 5: Solve for x
    x = 115,691,116,187,425,024/158,729,576
  6. Step 6: Final answer
    x = 728,856,707.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.