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Finding the Third Proportional to 104,134,146 and 216,887,400

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Solution

The third proportional to 104,134,146 and 216,887,400 is: 451,726,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,134,146 : 216,887,400 = 216,887,400 : x
  2. Step 2: Convert to fraction form
    104,134,146/216,887,400 = 216,887,400/x
  3. Step 3: Cross multiply
    104,134,146x = 216,887,400 × 216,887,400
  4. Step 4: Simplify right side
    104,134,146x = 47,040,144,278,760,000
  5. Step 5: Solve for x
    x = 47,040,144,278,760,000/104,134,146
  6. Step 6: Final answer
    x = 451,726,413.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.