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Finding the Third Proportional to 106,806,780 and 219,275,696

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Solution

The third proportional to 106,806,780 and 219,275,696 is: 450,175,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,780 : 219,275,696 = 219,275,696 : x
  2. Step 2: Convert to fraction form
    106,806,780/219,275,696 = 219,275,696/x
  3. Step 3: Cross multiply
    106,806,780x = 219,275,696 × 219,275,696
  4. Step 4: Simplify right side
    106,806,780x = 48,081,830,856,284,416
  5. Step 5: Solve for x
    x = 48,081,830,856,284,416/106,806,780
  6. Step 6: Final answer
    x = 450,175,830.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.