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Finding the Third Proportional to 101,354,337 and 221,286,966

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Solution

The third proportional to 101,354,337 and 221,286,966 is: 483,135,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354,337 : 221,286,966 = 221,286,966 : x
  2. Step 2: Convert to fraction form
    101,354,337/221,286,966 = 221,286,966/x
  3. Step 3: Cross multiply
    101,354,337x = 221,286,966 × 221,286,966
  4. Step 4: Simplify right side
    101,354,337x = 48,967,921,321,485,152
  5. Step 5: Solve for x
    x = 48,967,921,321,485,152/101,354,337
  6. Step 6: Final answer
    x = 483,135,924.63

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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.