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Finding the Third Proportional to 105,500,214 and 222,336,108

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Solution

The third proportional to 105,500,214 and 222,336,108 is: 468,561,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,500,214 : 222,336,108 = 222,336,108 : x
  2. Step 2: Convert to fraction form
    105,500,214/222,336,108 = 222,336,108/x
  3. Step 3: Cross multiply
    105,500,214x = 222,336,108 × 222,336,108
  4. Step 4: Simplify right side
    105,500,214x = 49,433,344,920,587,664
  5. Step 5: Solve for x
    x = 49,433,344,920,587,664/105,500,214
  6. Step 6: Final answer
    x = 468,561,560.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.