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Finding the Third Proportional to 187,173,200 and 403,940,992

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Solution

The third proportional to 187,173,200 and 403,940,992 is: 871,750,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,173,200 : 403,940,992 = 403,940,992 : x
  2. Step 2: Convert to fraction form
    187,173,200/403,940,992 = 403,940,992/x
  3. Step 3: Cross multiply
    187,173,200x = 403,940,992 × 403,940,992
  4. Step 4: Simplify right side
    187,173,200x = 163,168,325,017,944,064
  5. Step 5: Solve for x
    x = 163,168,325,017,944,064/187,173,200
  6. Step 6: Final answer
    x = 871,750,469.71

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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.