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Finding the Third Proportional to 160,970,898 and 349,163,356

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Solution

The third proportional to 160,970,898 and 349,163,356 is: 757,373,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970,898 : 349,163,356 = 349,163,356 : x
  2. Step 2: Convert to fraction form
    160,970,898/349,163,356 = 349,163,356/x
  3. Step 3: Cross multiply
    160,970,898x = 349,163,356 × 349,163,356
  4. Step 4: Simplify right side
    160,970,898x = 121,915,049,173,182,736
  5. Step 5: Solve for x
    x = 121,915,049,173,182,736/160,970,898
  6. Step 6: Final answer
    x = 757,373,231.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.