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Finding the Third Proportional to 64,025,943.75 and 137,762,604.14

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Solution

The third proportional to 64,025,943.75 and 137,762,604.14 is: 296,419,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,025,943.75 : 137,762,604.14 = 137,762,604.14 : x
  2. Step 2: Convert to fraction form
    64,025,943.75/137,762,604.14 = 137,762,604.14/x
  3. Step 3: Cross multiply
    64,025,943.75x = 137,762,604.14 × 137,762,604.14
  4. Step 4: Simplify right side
    64,025,943.75x = 18,978,535,099,605,168
  5. Step 5: Solve for x
    x = 18,978,535,099,605,168/64,025,943.75
  6. Step 6: Final answer
    x = 296,419,451.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.