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Finding the Third Proportional to 79,125,161 and 166,752,082

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Solution

The third proportional to 79,125,161 and 166,752,082 is: 351,421,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,125,161 : 166,752,082 = 166,752,082 : x
  2. Step 2: Convert to fraction form
    79,125,161/166,752,082 = 166,752,082/x
  3. Step 3: Cross multiply
    79,125,161x = 166,752,082 × 166,752,082
  4. Step 4: Simplify right side
    79,125,161x = 27,806,256,851,334,724
  5. Step 5: Solve for x
    x = 27,806,256,851,334,724/79,125,161
  6. Step 6: Final answer
    x = 351,421,172.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.