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Finding the Third Proportional to 103,659,279 and 226,842,078

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Solution

The third proportional to 103,659,279 and 226,842,078 is: 496,408,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,279 : 226,842,078 = 226,842,078 : x
  2. Step 2: Convert to fraction form
    103,659,279/226,842,078 = 226,842,078/x
  3. Step 3: Cross multiply
    103,659,279x = 226,842,078 × 226,842,078
  4. Step 4: Simplify right side
    103,659,279x = 51,457,328,351,358,080
  5. Step 5: Solve for x
    x = 51,457,328,351,358,080/103,659,279
  6. Step 6: Final answer
    x = 496,408,318.17

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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.