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Finding the Third Proportional to 102,607,644 and 225,736,608

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Solution

The third proportional to 102,607,644 and 225,736,608 is: 496,620,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607,644 : 225,736,608 = 225,736,608 : x
  2. Step 2: Convert to fraction form
    102,607,644/225,736,608 = 225,736,608/x
  3. Step 3: Cross multiply
    102,607,644x = 225,736,608 × 225,736,608
  4. Step 4: Simplify right side
    102,607,644x = 50,957,016,191,345,664
  5. Step 5: Solve for x
    x = 50,957,016,191,345,664/102,607,644
  6. Step 6: Final answer
    x = 496,620,078.24

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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.