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Finding the Third Proportional to 72,325,841 and 109,161,352

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Solution

The third proportional to 72,325,841 and 109,161,352 is: 164,757,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,325,841 : 109,161,352 = 109,161,352 : x
  2. Step 2: Convert to fraction form
    72,325,841/109,161,352 = 109,161,352/x
  3. Step 3: Cross multiply
    72,325,841x = 109,161,352 × 109,161,352
  4. Step 4: Simplify right side
    72,325,841x = 11,916,200,770,467,904
  5. Step 5: Solve for x
    x = 11,916,200,770,467,904/72,325,841
  6. Step 6: Final answer
    x = 164,757,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.