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Finding the Third Proportional to 160,970,890 and 349,163,340

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Solution

The third proportional to 160,970,890 and 349,163,340 is: 757,373,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,970,890 : 349,163,340 = 349,163,340 : x
  2. Step 2: Convert to fraction form
    160,970,890/349,163,340 = 349,163,340/x
  3. Step 3: Cross multiply
    160,970,890x = 349,163,340 × 349,163,340
  4. Step 4: Simplify right side
    160,970,890x = 121,915,037,999,955,600
  5. Step 5: Solve for x
    x = 121,915,037,999,955,600/160,970,890
  6. Step 6: Final answer
    x = 757,373,199.59

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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.