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Finding the Third Proportional to 153,132,138 and 229,810,204

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Solution

The third proportional to 153,132,138 and 229,810,204 is: 344,883,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,132,138 : 229,810,204 = 229,810,204 : x
  2. Step 2: Convert to fraction form
    153,132,138/229,810,204 = 229,810,204/x
  3. Step 3: Cross multiply
    153,132,138x = 229,810,204 × 229,810,204
  4. Step 4: Simplify right side
    153,132,138x = 52,812,729,862,521,616
  5. Step 5: Solve for x
    x = 52,812,729,862,521,616/153,132,138
  6. Step 6: Final answer
    x = 344,883,383.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.