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Finding the Third Proportional to 77,161,471 and 166,438,192

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Solution

The third proportional to 77,161,471 and 166,438,192 is: 359,009,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,471 : 166,438,192 = 166,438,192 : x
  2. Step 2: Convert to fraction form
    77,161,471/166,438,192 = 166,438,192/x
  3. Step 3: Cross multiply
    77,161,471x = 166,438,192 × 166,438,192
  4. Step 4: Simplify right side
    77,161,471x = 27,701,671,756,228,864
  5. Step 5: Solve for x
    x = 27,701,671,756,228,864/77,161,471
  6. Step 6: Final answer
    x = 359,009,119.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.