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Finding the Third Proportional to 160,271,234 and 239,463,381

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Solution

The third proportional to 160,271,234 and 239,463,381 is: 357,785,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,271,234 : 239,463,381 = 239,463,381 : x
  2. Step 2: Convert to fraction form
    160,271,234/239,463,381 = 239,463,381/x
  3. Step 3: Cross multiply
    160,271,234x = 239,463,381 × 239,463,381
  4. Step 4: Simplify right side
    160,271,234x = 57,342,710,839,951,160
  5. Step 5: Solve for x
    x = 57,342,710,839,951,160/160,271,234
  6. Step 6: Final answer
    x = 357,785,420.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.