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Finding the Third Proportional to 83,531,936 and 179,402,920

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Solution

The third proportional to 83,531,936 and 179,402,920 is: 385,306,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531,936 : 179,402,920 = 179,402,920 : x
  2. Step 2: Convert to fraction form
    83,531,936/179,402,920 = 179,402,920/x
  3. Step 3: Cross multiply
    83,531,936x = 179,402,920 × 179,402,920
  4. Step 4: Simplify right side
    83,531,936x = 32,185,407,704,526,400
  5. Step 5: Solve for x
    x = 32,185,407,704,526,400/83,531,936
  6. Step 6: Final answer
    x = 385,306,617.39

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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.