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Finding the Third Proportional to 74,451,099 and 111,755,434.50

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Solution

The third proportional to 74,451,099 and 111,755,434.50 is: 167,751,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,451,099 : 111,755,434.50 = 111,755,434.50 : x
  2. Step 2: Convert to fraction form
    74,451,099/111,755,434.50 = 111,755,434.50/x
  3. Step 3: Cross multiply
    74,451,099x = 111,755,434.50 × 111,755,434.50
  4. Step 4: Simplify right side
    74,451,099x = 12,489,277,140,283,790
  5. Step 5: Solve for x
    x = 12,489,277,140,283,790/74,451,099
  6. Step 6: Final answer
    x = 167,751,414.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.