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Finding the Third Proportional to 89,507,361 and 192,787,353

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Solution

The third proportional to 89,507,361 and 192,787,353 is: 415,239,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507,361 : 192,787,353 = 192,787,353 : x
  2. Step 2: Convert to fraction form
    89,507,361/192,787,353 = 192,787,353/x
  3. Step 3: Cross multiply
    89,507,361x = 192,787,353 × 192,787,353
  4. Step 4: Simplify right side
    89,507,361x = 37,166,963,476,746,608
  5. Step 5: Solve for x
    x = 37,166,963,476,746,608/89,507,361
  6. Step 6: Final answer
    x = 415,239,183.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.