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Finding the Third Proportional to 103,650,819 and 226,827,270

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Solution

The third proportional to 103,650,819 and 226,827,270 is: 496,384,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650,819 : 226,827,270 = 226,827,270 : x
  2. Step 2: Convert to fraction form
    103,650,819/226,827,270 = 226,827,270/x
  3. Step 3: Cross multiply
    103,650,819x = 226,827,270 × 226,827,270
  4. Step 4: Simplify right side
    103,650,819x = 51,450,610,415,652,896
  5. Step 5: Solve for x
    x = 51,450,610,415,652,896/103,650,819
  6. Step 6: Final answer
    x = 496,384,021.97

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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.