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Finding the Third Proportional to 103,659,289 and 226,842,098

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Solution

The third proportional to 103,659,289 and 226,842,098 is: 496,408,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,289 : 226,842,098 = 226,842,098 : x
  2. Step 2: Convert to fraction form
    103,659,289/226,842,098 = 226,842,098/x
  3. Step 3: Cross multiply
    103,659,289x = 226,842,098 × 226,842,098
  4. Step 4: Simplify right side
    103,659,289x = 51,457,337,425,041,600
  5. Step 5: Solve for x
    x = 51,457,337,425,041,600/103,659,289
  6. Step 6: Final answer
    x = 496,408,357.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.