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Finding the Third Proportional to 103,659,276 and 226,842,072

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Solution

The third proportional to 103,659,276 and 226,842,072 is: 496,408,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,276 : 226,842,072 = 226,842,072 : x
  2. Step 2: Convert to fraction form
    103,659,276/226,842,072 = 226,842,072/x
  3. Step 3: Cross multiply
    103,659,276x = 226,842,072 × 226,842,072
  4. Step 4: Simplify right side
    103,659,276x = 51,457,325,629,253,184
  5. Step 5: Solve for x
    x = 51,457,325,629,253,184/103,659,276
  6. Step 6: Final answer
    x = 496,408,306.28

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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.