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Finding the Third Proportional to 38,819,069 and 83,091,194.50

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Solution

The third proportional to 38,819,069 and 83,091,194.50 is: 177,854,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,819,069 : 83,091,194.50 = 83,091,194.50 : x
  2. Step 2: Convert to fraction form
    38,819,069/83,091,194.50 = 83,091,194.50/x
  3. Step 3: Cross multiply
    38,819,069x = 83,091,194.50 × 83,091,194.50
  4. Step 4: Simplify right side
    38,819,069x = 6,904,146,603,436,830
  5. Step 5: Solve for x
    x = 6,904,146,603,436,830/38,819,069
  6. Step 6: Final answer
    x = 177,854,512.78

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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.