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Finding the Third Proportional to 143,932,224 and 205,132,452

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Solution

The third proportional to 143,932,224 and 205,132,452 is: 292,355,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,932,224 : 205,132,452 = 205,132,452 : x
  2. Step 2: Convert to fraction form
    143,932,224/205,132,452 = 205,132,452/x
  3. Step 3: Cross multiply
    143,932,224x = 205,132,452 × 205,132,452
  4. Step 4: Simplify right side
    143,932,224x = 42,079,322,863,532,304
  5. Step 5: Solve for x
    x = 42,079,322,863,532,304/143,932,224
  6. Step 6: Final answer
    x = 292,355,121.70

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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.