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Finding the Third Proportional to 215,098,896 and 330,622,496

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Solution

The third proportional to 215,098,896 and 330,622,496 is: 508,190,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,098,896 : 330,622,496 = 330,622,496 : x
  2. Step 2: Convert to fraction form
    215,098,896/330,622,496 = 330,622,496/x
  3. Step 3: Cross multiply
    215,098,896x = 330,622,496 × 330,622,496
  4. Step 4: Simplify right side
    215,098,896x = 109,311,234,861,270,016
  5. Step 5: Solve for x
    x = 109,311,234,861,270,016/215,098,896
  6. Step 6: Final answer
    x = 508,190,589.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.