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Finding the Third Proportional to 101,408,606 and 221,400,123

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Solution

The third proportional to 101,408,606 and 221,400,123 is: 483,371,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408,606 : 221,400,123 = 221,400,123 : x
  2. Step 2: Convert to fraction form
    101,408,606/221,400,123 = 221,400,123/x
  3. Step 3: Cross multiply
    101,408,606x = 221,400,123 × 221,400,123
  4. Step 4: Simplify right side
    101,408,606x = 49,018,014,464,415,128
  5. Step 5: Solve for x
    x = 49,018,014,464,415,128/101,408,606
  6. Step 6: Final answer
    x = 483,371,346.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.