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Finding the Third Proportional to 216,193,827 and 475,625,958

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Solution

The third proportional to 216,193,827 and 475,625,958 is: 1,046,376,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,193,827 : 475,625,958 = 475,625,958 : x
  2. Step 2: Convert to fraction form
    216,193,827/475,625,958 = 475,625,958/x
  3. Step 3: Cross multiply
    216,193,827x = 475,625,958 × 475,625,958
  4. Step 4: Simplify right side
    216,193,827x = 226,220,051,923,417,760
  5. Step 5: Solve for x
    x = 226,220,051,923,417,760/216,193,827
  6. Step 6: Final answer
    x = 1,046,376,092.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.