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Finding the Third Proportional to 81,475,348.50 and 174,599,874

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Solution

The third proportional to 81,475,348.50 and 174,599,874 is: 374,163,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,475,348.50 : 174,599,874 = 174,599,874 : x
  2. Step 2: Convert to fraction form
    81,475,348.50/174,599,874 = 174,599,874/x
  3. Step 3: Cross multiply
    81,475,348.50x = 174,599,874 × 174,599,874
  4. Step 4: Simplify right side
    81,475,348.50x = 30,485,116,000,815,876
  5. Step 5: Solve for x
    x = 30,485,116,000,815,876/81,475,348.50
  6. Step 6: Final answer
    x = 374,163,677.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.