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Finding the Third Proportional to 146,135,673 and 321,198,066

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Solution

The third proportional to 146,135,673 and 321,198,066 is: 705,975,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135,673 : 321,198,066 = 321,198,066 : x
  2. Step 2: Convert to fraction form
    146,135,673/321,198,066 = 321,198,066/x
  3. Step 3: Cross multiply
    146,135,673x = 321,198,066 × 321,198,066
  4. Step 4: Simplify right side
    146,135,673x = 103,168,197,602,140,352
  5. Step 5: Solve for x
    x = 103,168,197,602,140,352/146,135,673
  6. Step 6: Final answer
    x = 705,975,450.65

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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.