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Finding the Third Proportional to 106,806,591 and 219,275,316

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Solution

The third proportional to 106,806,591 and 219,275,316 is: 450,175,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,591 : 219,275,316 = 219,275,316 : x
  2. Step 2: Convert to fraction form
    106,806,591/219,275,316 = 219,275,316/x
  3. Step 3: Cross multiply
    106,806,591x = 219,275,316 × 219,275,316
  4. Step 4: Simplify right side
    106,806,591x = 48,081,664,206,899,856
  5. Step 5: Solve for x
    x = 48,081,664,206,899,856/106,806,591
  6. Step 6: Final answer
    x = 450,175,066.51

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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.