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Finding the Third Proportional to 146,353,351.50 and 289,005,327

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Solution

The third proportional to 146,353,351.50 and 289,005,327 is: 570,701,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353,351.50 : 289,005,327 = 289,005,327 : x
  2. Step 2: Convert to fraction form
    146,353,351.50/289,005,327 = 289,005,327/x
  3. Step 3: Cross multiply
    146,353,351.50x = 289,005,327 × 289,005,327
  4. Step 4: Simplify right side
    146,353,351.50x = 83,524,079,034,376,928
  5. Step 5: Solve for x
    x = 83,524,079,034,376,928/146,353,351.50
  6. Step 6: Final answer
    x = 570,701,512.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.