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Finding the Third Proportional to 129,472,314.50 and 277,412,204

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Solution

The third proportional to 129,472,314.50 and 277,412,204 is: 594,393,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472,314.50 : 277,412,204 = 277,412,204 : x
  2. Step 2: Convert to fraction form
    129,472,314.50/277,412,204 = 277,412,204/x
  3. Step 3: Cross multiply
    129,472,314.50x = 277,412,204 × 277,412,204
  4. Step 4: Simplify right side
    129,472,314.50x = 76,957,530,928,137,616
  5. Step 5: Solve for x
    x = 76,957,530,928,137,616/129,472,314.50
  6. Step 6: Final answer
    x = 594,393,722.13

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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.