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Finding the Third Proportional to 140,831,244 and 215,431,326

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Solution

The third proportional to 140,831,244 and 215,431,326 is: 329,548,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,831,244 : 215,431,326 = 215,431,326 : x
  2. Step 2: Convert to fraction form
    140,831,244/215,431,326 = 215,431,326/x
  3. Step 3: Cross multiply
    140,831,244x = 215,431,326 × 215,431,326
  4. Step 4: Simplify right side
    140,831,244x = 46,410,656,222,118,272
  5. Step 5: Solve for x
    x = 46,410,656,222,118,272/140,831,244
  6. Step 6: Final answer
    x = 329,548,010.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.