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Finding the Third Proportional to 143,932,227 and 205,132,456.50

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Solution

The third proportional to 143,932,227 and 205,132,456.50 is: 292,355,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,932,227 : 205,132,456.50 = 205,132,456.50 : x
  2. Step 2: Convert to fraction form
    143,932,227/205,132,456.50 = 205,132,456.50/x
  3. Step 3: Cross multiply
    143,932,227x = 205,132,456.50 × 205,132,456.50
  4. Step 4: Simplify right side
    143,932,227x = 42,079,324,709,724,392
  5. Step 5: Solve for x
    x = 42,079,324,709,724,392/143,932,227
  6. Step 6: Final answer
    x = 292,355,128.43

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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.