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Finding the Third Proportional to 69,317,271 and 150,193,332

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Solution

The third proportional to 69,317,271 and 150,193,332 is: 325,431,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,317,271 : 150,193,332 = 150,193,332 : x
  2. Step 2: Convert to fraction form
    69,317,271/150,193,332 = 150,193,332/x
  3. Step 3: Cross multiply
    69,317,271x = 150,193,332 × 150,193,332
  4. Step 4: Simplify right side
    69,317,271x = 22,558,036,977,262,224
  5. Step 5: Solve for x
    x = 22,558,036,977,262,224/69,317,271
  6. Step 6: Final answer
    x = 325,431,694.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.