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Finding the Third Proportional to 106,806,733 and 219,275,612

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Solution

The third proportional to 106,806,733 and 219,275,612 is: 450,175,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,733 : 219,275,612 = 219,275,612 : x
  2. Step 2: Convert to fraction form
    106,806,733/219,275,612 = 219,275,612/x
  3. Step 3: Cross multiply
    106,806,733x = 219,275,612 × 219,275,612
  4. Step 4: Simplify right side
    106,806,733x = 48,081,794,017,974,544
  5. Step 5: Solve for x
    x = 48,081,794,017,974,544/106,806,733
  6. Step 6: Final answer
    x = 450,175,683.38

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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.