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Finding the Third Proportional to 231,465,309.75 and 352,624,401

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Solution

The third proportional to 231,465,309.75 and 352,624,401 is: 537,203,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465,309.75 : 352,624,401 = 352,624,401 : x
  2. Step 2: Convert to fraction form
    231,465,309.75/352,624,401 = 352,624,401/x
  3. Step 3: Cross multiply
    231,465,309.75x = 352,624,401 × 352,624,401
  4. Step 4: Simplify right side
    231,465,309.75x = 124,343,968,180,608,800
  5. Step 5: Solve for x
    x = 124,343,968,180,608,800/231,465,309.75
  6. Step 6: Final answer
    x = 537,203,472.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.