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Finding the Third Proportional to 134,054,424 and 289,270,966

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Solution

The third proportional to 134,054,424 and 289,270,966 is: 624,206,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,054,424 : 289,270,966 = 289,270,966 : x
  2. Step 2: Convert to fraction form
    134,054,424/289,270,966 = 289,270,966/x
  3. Step 3: Cross multiply
    134,054,424x = 289,270,966 × 289,270,966
  4. Step 4: Simplify right side
    134,054,424x = 83,677,691,770,573,152
  5. Step 5: Solve for x
    x = 83,677,691,770,573,152/134,054,424
  6. Step 6: Final answer
    x = 624,206,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.