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Finding the Third Proportional to 69,317,289 and 150,193,359

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Solution

The third proportional to 69,317,289 and 150,193,359 is: 325,431,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,317,289 : 150,193,359 = 150,193,359 : x
  2. Step 2: Convert to fraction form
    69,317,289/150,193,359 = 150,193,359/x
  3. Step 3: Cross multiply
    69,317,289x = 150,193,359 × 150,193,359
  4. Step 4: Simplify right side
    69,317,289x = 22,558,045,087,702,880
  5. Step 5: Solve for x
    x = 22,558,045,087,702,880/69,317,289
  6. Step 6: Final answer
    x = 325,431,727.25

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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.