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Finding the Third Proportional to 171,117,036 and 369,507,576

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Solution

The third proportional to 171,117,036 and 369,507,576 is: 797,909,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,117,036 : 369,507,576 = 369,507,576 : x
  2. Step 2: Convert to fraction form
    171,117,036/369,507,576 = 369,507,576/x
  3. Step 3: Cross multiply
    171,117,036x = 369,507,576 × 369,507,576
  4. Step 4: Simplify right side
    171,117,036x = 136,535,848,721,395,776
  5. Step 5: Solve for x
    x = 136,535,848,721,395,776/171,117,036
  6. Step 6: Final answer
    x = 797,909,149.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.