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Finding the Third Proportional to 106,806,768 and 219,275,672

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Solution

The third proportional to 106,806,768 and 219,275,672 is: 450,175,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,768 : 219,275,672 = 219,275,672 : x
  2. Step 2: Convert to fraction form
    106,806,768/219,275,672 = 219,275,672/x
  3. Step 3: Cross multiply
    106,806,768x = 219,275,672 × 219,275,672
  4. Step 4: Simplify right side
    106,806,768x = 48,081,820,331,051,584
  5. Step 5: Solve for x
    x = 48,081,820,331,051,584/106,806,768
  6. Step 6: Final answer
    x = 450,175,782.22

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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.