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Finding the Third Proportional to 154,150,526 and 225,437,781

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Solution

The third proportional to 154,150,526 and 225,437,781 is: 329,691,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,150,526 : 225,437,781 = 225,437,781 : x
  2. Step 2: Convert to fraction form
    154,150,526/225,437,781 = 225,437,781/x
  3. Step 3: Cross multiply
    154,150,526x = 225,437,781 × 225,437,781
  4. Step 4: Simplify right side
    154,150,526x = 50,822,193,102,203,960
  5. Step 5: Solve for x
    x = 50,822,193,102,203,960/154,150,526
  6. Step 6: Final answer
    x = 329,691,986.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.