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Finding the Third Proportional to 106,143,610.50 and 227,043,022.50

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Solution

The third proportional to 106,143,610.50 and 227,043,022.50 is: 485,648,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143,610.50 : 227,043,022.50 = 227,043,022.50 : x
  2. Step 2: Convert to fraction form
    106,143,610.50/227,043,022.50 = 227,043,022.50/x
  3. Step 3: Cross multiply
    106,143,610.50x = 227,043,022.50 × 227,043,022.50
  4. Step 4: Simplify right side
    106,143,610.50x = 51,548,534,065,935,504
  5. Step 5: Solve for x
    x = 51,548,534,065,935,504/106,143,610.50
  6. Step 6: Final answer
    x = 485,648,960.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.