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Finding the Third Proportional to 106,806,724.50 and 219,275,592

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Solution

The third proportional to 106,806,724.50 and 219,275,592 is: 450,175,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,724.50 : 219,275,592 = 219,275,592 : x
  2. Step 2: Convert to fraction form
    106,806,724.50/219,275,592 = 219,275,592/x
  3. Step 3: Cross multiply
    106,806,724.50x = 219,275,592 × 219,275,592
  4. Step 4: Simplify right side
    106,806,724.50x = 48,081,785,246,950,464
  5. Step 5: Solve for x
    x = 48,081,785,246,950,464/106,806,724.50
  6. Step 6: Final answer
    x = 450,175,637.09

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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.