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Finding the Third Proportional to 143,932,201.50 and 205,132,425

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Solution

The third proportional to 143,932,201.50 and 205,132,425 is: 292,355,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,932,201.50 : 205,132,425 = 205,132,425 : x
  2. Step 2: Convert to fraction form
    143,932,201.50/205,132,425 = 205,132,425/x
  3. Step 3: Cross multiply
    143,932,201.50x = 205,132,425 × 205,132,425
  4. Step 4: Simplify right side
    143,932,201.50x = 42,079,311,786,380,624
  5. Step 5: Solve for x
    x = 42,079,311,786,380,624/143,932,201.50
  6. Step 6: Final answer
    x = 292,355,090.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.