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Finding the Third Proportional to 148,134,027 and 322,345,630

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Solution

The third proportional to 148,134,027 and 322,345,630 is: 701,437,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,134,027 : 322,345,630 = 322,345,630 : x
  2. Step 2: Convert to fraction form
    148,134,027/322,345,630 = 322,345,630/x
  3. Step 3: Cross multiply
    148,134,027x = 322,345,630 × 322,345,630
  4. Step 4: Simplify right side
    148,134,027x = 103,906,705,180,096,896
  5. Step 5: Solve for x
    x = 103,906,705,180,096,896/148,134,027
  6. Step 6: Final answer
    x = 701,437,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.