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Finding the Third Proportional to 217,741,257 and 322,530,207

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Solution

The third proportional to 217,741,257 and 322,530,207 is: 477,749,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,741,257 : 322,530,207 = 322,530,207 : x
  2. Step 2: Convert to fraction form
    217,741,257/322,530,207 = 322,530,207/x
  3. Step 3: Cross multiply
    217,741,257x = 322,530,207 × 322,530,207
  4. Step 4: Simplify right side
    217,741,257x = 104,025,734,427,462,848
  5. Step 5: Solve for x
    x = 104,025,734,427,462,848/217,741,257
  6. Step 6: Final answer
    x = 477,749,306.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.