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Finding the Third Proportional to 128,184,159,698 and 188,436,401,174

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Solution

The third proportional to 128,184,159,698 and 188,436,401,174 is: 277,009,869,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,184,159,698 : 188,436,401,174 = 188,436,401,174 : x
  2. Step 2: Convert to fraction form
    128,184,159,698/188,436,401,174 = 188,436,401,174/x
  3. Step 3: Cross multiply
    128,184,159,698x = 188,436,401,174 × 188,436,401,174
  4. Step 4: Simplify right side
    128,184,159,698x = 35,508,277,287,408,669,556,736
  5. Step 5: Solve for x
    x = 35,508,277,287,408,669,556,736/128,184,159,698
  6. Step 6: Final answer
    x = 277,009,869,012.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.