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Finding the Third Proportional to 99,135,227.75 and 214,740,023.50

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Solution

The third proportional to 99,135,227.75 and 214,740,023.50 is: 465,155,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135,227.75 : 214,740,023.50 = 214,740,023.50 : x
  2. Step 2: Convert to fraction form
    99,135,227.75/214,740,023.50 = 214,740,023.50/x
  3. Step 3: Cross multiply
    99,135,227.75x = 214,740,023.50 × 214,740,023.50
  4. Step 4: Simplify right side
    99,135,227.75x = 46,113,277,692,780,552
  5. Step 5: Solve for x
    x = 46,113,277,692,780,552/99,135,227.75
  6. Step 6: Final answer
    x = 465,155,310.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.