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Finding the Third Proportional to 149,302,992 and 213,503,536

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Solution

The third proportional to 149,302,992 and 213,503,536 is: 305,310,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302,992 : 213,503,536 = 213,503,536 : x
  2. Step 2: Convert to fraction form
    149,302,992/213,503,536 = 213,503,536/x
  3. Step 3: Cross multiply
    149,302,992x = 213,503,536 × 213,503,536
  4. Step 4: Simplify right side
    149,302,992x = 45,583,759,884,503,296
  5. Step 5: Solve for x
    x = 45,583,759,884,503,296/149,302,992
  6. Step 6: Final answer
    x = 305,310,424.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.