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Finding the Third Proportional to 226,367,447 and 485,005,174

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Solution

The third proportional to 226,367,447 and 485,005,174 is: 1,039,151,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,367,447 : 485,005,174 = 485,005,174 : x
  2. Step 2: Convert to fraction form
    226,367,447/485,005,174 = 485,005,174/x
  3. Step 3: Cross multiply
    226,367,447x = 485,005,174 × 485,005,174
  4. Step 4: Simplify right side
    226,367,447x = 235,230,018,806,770,272
  5. Step 5: Solve for x
    x = 235,230,018,806,770,272/226,367,447
  6. Step 6: Final answer
    x = 1,039,151,264.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.