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Finding the Third Proportional to 78,175,161 and 171,767,214

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Solution

The third proportional to 78,175,161 and 171,767,214 is: 377,408,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175,161 : 171,767,214 = 171,767,214 : x
  2. Step 2: Convert to fraction form
    78,175,161/171,767,214 = 171,767,214/x
  3. Step 3: Cross multiply
    78,175,161x = 171,767,214 × 171,767,214
  4. Step 4: Simplify right side
    78,175,161x = 29,503,975,805,321,796
  5. Step 5: Solve for x
    x = 29,503,975,805,321,796/78,175,161
  6. Step 6: Final answer
    x = 377,408,571.06

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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.