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Finding the Third Proportional to 102,607,629 and 225,736,579.50

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Solution

The third proportional to 102,607,629 and 225,736,579.50 is: 496,620,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607,629 : 225,736,579.50 = 225,736,579.50 : x
  2. Step 2: Convert to fraction form
    102,607,629/225,736,579.50 = 225,736,579.50/x
  3. Step 3: Cross multiply
    102,607,629x = 225,736,579.50 × 225,736,579.50
  4. Step 4: Simplify right side
    102,607,629x = 50,957,003,324,359,824
  5. Step 5: Solve for x
    x = 50,957,003,324,359,824/102,607,629
  6. Step 6: Final answer
    x = 496,620,025.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.