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Finding the Third Proportional to 84,104,286 and 122,963,406

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Solution

The third proportional to 84,104,286 and 122,963,406 is: 179,776,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,104,286 : 122,963,406 = 122,963,406 : x
  2. Step 2: Convert to fraction form
    84,104,286/122,963,406 = 122,963,406/x
  3. Step 3: Cross multiply
    84,104,286x = 122,963,406 × 122,963,406
  4. Step 4: Simplify right side
    84,104,286x = 15,119,999,215,120,836
  5. Step 5: Solve for x
    x = 15,119,999,215,120,836/84,104,286
  6. Step 6: Final answer
    x = 179,776,797.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.