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Finding the Third Proportional to 215,327,175 and 472,342,941

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Solution

The third proportional to 215,327,175 and 472,342,941 is: 1,036,134,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,327,175 : 472,342,941 = 472,342,941 : x
  2. Step 2: Convert to fraction form
    215,327,175/472,342,941 = 472,342,941/x
  3. Step 3: Cross multiply
    215,327,175x = 472,342,941 × 472,342,941
  4. Step 4: Simplify right side
    215,327,175x = 223,107,853,912,529,472
  5. Step 5: Solve for x
    x = 223,107,853,912,529,472/215,327,175
  6. Step 6: Final answer
    x = 1,036,134,217.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.