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Finding the Third Proportional to 179,475,338,992 and 388,733,694,502

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Solution

The third proportional to 179,475,338,992 and 388,733,694,502 is: 841,975,761,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,475,338,992 : 388,733,694,502 = 388,733,694,502 : x
  2. Step 2: Convert to fraction form
    179,475,338,992/388,733,694,502 = 388,733,694,502/x
  3. Step 3: Cross multiply
    179,475,338,992x = 388,733,694,502 × 388,733,694,502
  4. Step 4: Simplify right side
    179,475,338,992x = 151,113,885,241,174,262,808,576
  5. Step 5: Solve for x
    x = 151,113,885,241,174,262,808,576/179,475,338,992
  6. Step 6: Final answer
    x = 841,975,761,627.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.