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Finding the Third Proportional to 234,752,637,173 and 515,623,104,226

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Solution

The third proportional to 234,752,637,173 and 515,623,104,226 is: 1,132,541,848,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,752,637,173 : 515,623,104,226 = 515,623,104,226 : x
  2. Step 2: Convert to fraction form
    234,752,637,173/515,623,104,226 = 515,623,104,226/x
  3. Step 3: Cross multiply
    234,752,637,173x = 515,623,104,226 × 515,623,104,226
  4. Step 4: Simplify right side
    234,752,637,173x = 265,867,185,611,656,447,131,648
  5. Step 5: Solve for x
    x = 265,867,185,611,656,447,131,648/234,752,637,173
  6. Step 6: Final answer
    x = 1,132,541,848,361.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.