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Finding the Third Proportional to 103,659,291 and 226,842,102

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Solution

The third proportional to 103,659,291 and 226,842,102 is: 496,408,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,291 : 226,842,102 = 226,842,102 : x
  2. Step 2: Convert to fraction form
    103,659,291/226,842,102 = 226,842,102/x
  3. Step 3: Cross multiply
    103,659,291x = 226,842,102 × 226,842,102
  4. Step 4: Simplify right side
    103,659,291x = 51,457,339,239,778,400
  5. Step 5: Solve for x
    x = 51,457,339,239,778,400/103,659,291
  6. Step 6: Final answer
    x = 496,408,365.75

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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.