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Finding the Third Proportional to 215,327,177 and 472,342,945

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Solution

The third proportional to 215,327,177 and 472,342,945 is: 1,036,134,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,327,177 : 472,342,945 = 472,342,945 : x
  2. Step 2: Convert to fraction form
    215,327,177/472,342,945 = 472,342,945/x
  3. Step 3: Cross multiply
    215,327,177x = 472,342,945 × 472,342,945
  4. Step 4: Simplify right side
    215,327,177x = 223,107,857,691,273,024
  5. Step 5: Solve for x
    x = 223,107,857,691,273,024/215,327,177
  6. Step 6: Final answer
    x = 1,036,134,225.13

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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.