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Finding the Third Proportional to 103,650,817 and 226,827,266

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Solution

The third proportional to 103,650,817 and 226,827,266 is: 496,384,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650,817 : 226,827,266 = 226,827,266 : x
  2. Step 2: Convert to fraction form
    103,650,817/226,827,266 = 226,827,266/x
  3. Step 3: Cross multiply
    103,650,817x = 226,827,266 × 226,827,266
  4. Step 4: Simplify right side
    103,650,817x = 51,450,608,601,034,752
  5. Step 5: Solve for x
    x = 51,450,608,601,034,752/103,650,817
  6. Step 6: Final answer
    x = 496,384,014.04

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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.