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Finding the Third Proportional to 102,161,597 and 226,998,010

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Solution

The third proportional to 102,161,597 and 226,998,010 is: 504,378,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,161,597 : 226,998,010 = 226,998,010 : x
  2. Step 2: Convert to fraction form
    102,161,597/226,998,010 = 226,998,010/x
  3. Step 3: Cross multiply
    102,161,597x = 226,998,010 × 226,998,010
  4. Step 4: Simplify right side
    102,161,597x = 51,528,096,543,960,096
  5. Step 5: Solve for x
    x = 51,528,096,543,960,096/102,161,597
  6. Step 6: Final answer
    x = 504,378,338.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.