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Finding the Third Proportional to 160,064,718 and 344,396,388

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Solution

The third proportional to 160,064,718 and 344,396,388 is: 741,005,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,718 : 344,396,388 = 344,396,388 : x
  2. Step 2: Convert to fraction form
    160,064,718/344,396,388 = 344,396,388/x
  3. Step 3: Cross multiply
    160,064,718x = 344,396,388 × 344,396,388
  4. Step 4: Simplify right side
    160,064,718x = 118,608,872,067,446,544
  5. Step 5: Solve for x
    x = 118,608,872,067,446,544/160,064,718
  6. Step 6: Final answer
    x = 741,005,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.