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Finding the Third Proportional to 83,341,536 and 179,483,640

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Solution

The third proportional to 83,341,536 and 179,483,640 is: 386,534,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,341,536 : 179,483,640 = 179,483,640 : x
  2. Step 2: Convert to fraction form
    83,341,536/179,483,640 = 179,483,640/x
  3. Step 3: Cross multiply
    83,341,536x = 179,483,640 × 179,483,640
  4. Step 4: Simplify right side
    83,341,536x = 32,214,377,027,649,600
  5. Step 5: Solve for x
    x = 32,214,377,027,649,600/83,341,536
  6. Step 6: Final answer
    x = 386,534,476.97

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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.