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Finding the Third Proportional to 106,806,760 and 219,275,656

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Solution

The third proportional to 106,806,760 and 219,275,656 is: 450,175,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,760 : 219,275,656 = 219,275,656 : x
  2. Step 2: Convert to fraction form
    106,806,760/219,275,656 = 219,275,656/x
  3. Step 3: Cross multiply
    106,806,760x = 219,275,656 × 219,275,656
  4. Step 4: Simplify right side
    106,806,760x = 48,081,813,314,230,336
  5. Step 5: Solve for x
    x = 48,081,813,314,230,336/106,806,760
  6. Step 6: Final answer
    x = 450,175,750.24

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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.