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Finding the Third Proportional to 133,775,304 and 204,661,164

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Solution

The third proportional to 133,775,304 and 204,661,164 is: 313,108,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775,304 : 204,661,164 = 204,661,164 : x
  2. Step 2: Convert to fraction form
    133,775,304/204,661,164 = 204,661,164/x
  3. Step 3: Cross multiply
    133,775,304x = 204,661,164 × 204,661,164
  4. Step 4: Simplify right side
    133,775,304x = 41,886,192,049,834,896
  5. Step 5: Solve for x
    x = 41,886,192,049,834,896/133,775,304
  6. Step 6: Final answer
    x = 313,108,554.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.