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Finding the Third Proportional to 160,538,606 and 351,747,700

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Solution

The third proportional to 160,538,606 and 351,747,700 is: 770,695,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,538,606 : 351,747,700 = 351,747,700 : x
  2. Step 2: Convert to fraction form
    160,538,606/351,747,700 = 351,747,700/x
  3. Step 3: Cross multiply
    160,538,606x = 351,747,700 × 351,747,700
  4. Step 4: Simplify right side
    160,538,606x = 123,726,444,455,290,000
  5. Step 5: Solve for x
    x = 123,726,444,455,290,000/160,538,606
  6. Step 6: Final answer
    x = 770,695,893.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.