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Finding the Third Proportional to 167,171,355 and 258,322,216.50

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Solution

The third proportional to 167,171,355 and 258,322,216.50 is: 399,173,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,171,355 : 258,322,216.50 = 258,322,216.50 : x
  2. Step 2: Convert to fraction form
    167,171,355/258,322,216.50 = 258,322,216.50/x
  3. Step 3: Cross multiply
    167,171,355x = 258,322,216.50 × 258,322,216.50
  4. Step 4: Simplify right side
    167,171,355x = 66,730,367,537,472,872
  5. Step 5: Solve for x
    x = 66,730,367,537,472,872/167,171,355
  6. Step 6: Final answer
    x = 399,173,456.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.