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Finding the Third Proportional to 152,716,163.25 and 323,756,880

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Solution

The third proportional to 152,716,163.25 and 323,756,880 is: 686,361,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,716,163.25 : 323,756,880 = 323,756,880 : x
  2. Step 2: Convert to fraction form
    152,716,163.25/323,756,880 = 323,756,880/x
  3. Step 3: Cross multiply
    152,716,163.25x = 323,756,880 × 323,756,880
  4. Step 4: Simplify right side
    152,716,163.25x = 104,818,517,347,334,400
  5. Step 5: Solve for x
    x = 104,818,517,347,334,400/152,716,163.25
  6. Step 6: Final answer
    x = 686,361,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.