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Finding the Third Proportional to 96,348,843 and 137,348,824.50

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Solution

The third proportional to 96,348,843 and 137,348,824.50 is: 195,795,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348,843 : 137,348,824.50 = 137,348,824.50 : x
  2. Step 2: Convert to fraction form
    96,348,843/137,348,824.50 = 137,348,824.50/x
  3. Step 3: Cross multiply
    96,348,843x = 137,348,824.50 × 137,348,824.50
  4. Step 4: Simplify right side
    96,348,843x = 18,864,699,591,531,800
  5. Step 5: Solve for x
    x = 18,864,699,591,531,800/96,348,843
  6. Step 6: Final answer
    x = 195,795,808.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.