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Finding the Third Proportional to 150,911,019 and 323,335,557

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Solution

The third proportional to 150,911,019 and 323,335,557 is: 692,765,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,911,019 : 323,335,557 = 323,335,557 : x
  2. Step 2: Convert to fraction form
    150,911,019/323,335,557 = 323,335,557/x
  3. Step 3: Cross multiply
    150,911,019x = 323,335,557 × 323,335,557
  4. Step 4: Simplify right side
    150,911,019x = 104,545,882,420,500,256
  5. Step 5: Solve for x
    x = 104,545,882,420,500,256/150,911,019
  6. Step 6: Final answer
    x = 692,765,068.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.