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Finding the Third Proportional to 47,667,884.50 and 101,056,857.50

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Solution

The third proportional to 47,667,884.50 and 101,056,857.50 is: 214,242,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667,884.50 : 101,056,857.50 = 101,056,857.50 : x
  2. Step 2: Convert to fraction form
    47,667,884.50/101,056,857.50 = 101,056,857.50/x
  3. Step 3: Cross multiply
    47,667,884.50x = 101,056,857.50 × 101,056,857.50
  4. Step 4: Simplify right side
    47,667,884.50x = 10,212,488,447,775,306
  5. Step 5: Solve for x
    x = 10,212,488,447,775,306/47,667,884.50
  6. Step 6: Final answer
    x = 214,242,535.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.