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Finding the Third Proportional to 166,395,942 and 371,029,392

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Solution

The third proportional to 166,395,942 and 371,029,392 is: 827,320,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,395,942 : 371,029,392 = 371,029,392 : x
  2. Step 2: Convert to fraction form
    166,395,942/371,029,392 = 371,029,392/x
  3. Step 3: Cross multiply
    166,395,942x = 371,029,392 × 371,029,392
  4. Step 4: Simplify right side
    166,395,942x = 137,662,809,727,889,664
  5. Step 5: Solve for x
    x = 137,662,809,727,889,664/166,395,942
  6. Step 6: Final answer
    x = 827,320,715.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.