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Finding the Third Proportional to 142,521,414 and 305,198,220

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Solution

The third proportional to 142,521,414 and 305,198,220 is: 653,557,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,521,414 : 305,198,220 = 305,198,220 : x
  2. Step 2: Convert to fraction form
    142,521,414/305,198,220 = 305,198,220/x
  3. Step 3: Cross multiply
    142,521,414x = 305,198,220 × 305,198,220
  4. Step 4: Simplify right side
    142,521,414x = 93,145,953,491,168,400
  5. Step 5: Solve for x
    x = 93,145,953,491,168,400/142,521,414
  6. Step 6: Final answer
    x = 653,557,601.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.