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Finding the Third Proportional to 160,064,694 and 344,396,340

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Solution

The third proportional to 160,064,694 and 344,396,340 is: 741,005,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,694 : 344,396,340 = 344,396,340 : x
  2. Step 2: Convert to fraction form
    160,064,694/344,396,340 = 344,396,340/x
  3. Step 3: Cross multiply
    160,064,694x = 344,396,340 × 344,396,340
  4. Step 4: Simplify right side
    160,064,694x = 118,608,839,005,395,600
  5. Step 5: Solve for x
    x = 118,608,839,005,395,600/160,064,694
  6. Step 6: Final answer
    x = 741,005,627.42

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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.