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Finding the Third Proportional to 99,135,204.75 and 214,739,977.50

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Solution

The third proportional to 99,135,204.75 and 214,739,977.50 is: 465,155,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135,204.75 : 214,739,977.50 = 214,739,977.50 : x
  2. Step 2: Convert to fraction form
    99,135,204.75/214,739,977.50 = 214,739,977.50/x
  3. Step 3: Cross multiply
    99,135,204.75x = 214,739,977.50 × 214,739,977.50
  4. Step 4: Simplify right side
    99,135,204.75x = 46,113,257,936,700,504
  5. Step 5: Solve for x
    x = 46,113,257,936,700,504/99,135,204.75
  6. Step 6: Final answer
    x = 465,155,219.61

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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.