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Finding the Third Proportional to 160,970,896 and 349,163,352

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Solution

The third proportional to 160,970,896 and 349,163,352 is: 757,373,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970,896 : 349,163,352 = 349,163,352 : x
  2. Step 2: Convert to fraction form
    160,970,896/349,163,352 = 349,163,352/x
  3. Step 3: Cross multiply
    160,970,896x = 349,163,352 × 349,163,352
  4. Step 4: Simplify right side
    160,970,896x = 121,915,046,379,875,904
  5. Step 5: Solve for x
    x = 121,915,046,379,875,904/160,970,896
  6. Step 6: Final answer
    x = 757,373,223.42

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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.