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Finding the Third Proportional to 106,806,928 and 219,275,968

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Solution

The third proportional to 106,806,928 and 219,275,968 is: 450,176,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,806,928 : 219,275,968 = 219,275,968 : x
  2. Step 2: Convert to fraction form
    106,806,928/219,275,968 = 219,275,968/x
  3. Step 3: Cross multiply
    106,806,928x = 219,275,968 × 219,275,968
  4. Step 4: Simplify right side
    106,806,928x = 48,081,950,142,337,024
  5. Step 5: Solve for x
    x = 48,081,950,142,337,024/106,806,928
  6. Step 6: Final answer
    x = 450,176,323.23

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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.