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Finding the Third Proportional to 166,376,086 and 359,058,488

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Solution

The third proportional to 166,376,086 and 359,058,488 is: 774,888,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,376,086 : 359,058,488 = 359,058,488 : x
  2. Step 2: Convert to fraction form
    166,376,086/359,058,488 = 359,058,488/x
  3. Step 3: Cross multiply
    166,376,086x = 359,058,488 × 359,058,488
  4. Step 4: Simplify right side
    166,376,086x = 128,922,997,804,846,144
  5. Step 5: Solve for x
    x = 128,922,997,804,846,144/166,376,086
  6. Step 6: Final answer
    x = 774,888,993.39

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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.