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Finding the Third Proportional to 164,620,538 and 351,104,596

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Solution

The third proportional to 164,620,538 and 351,104,596 is: 748,839,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,620,538 : 351,104,596 = 351,104,596 : x
  2. Step 2: Convert to fraction form
    164,620,538/351,104,596 = 351,104,596/x
  3. Step 3: Cross multiply
    164,620,538x = 351,104,596 × 351,104,596
  4. Step 4: Simplify right side
    164,620,538x = 123,274,437,332,323,216
  5. Step 5: Solve for x
    x = 123,274,437,332,323,216/164,620,538
  6. Step 6: Final answer
    x = 748,839,961.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.