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Finding the Third Proportional to 107,075,439 and 144,469,905.75

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Solution

The third proportional to 107,075,439 and 144,469,905.75 is: 194,923,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075,439 : 144,469,905.75 = 144,469,905.75 : x
  2. Step 2: Convert to fraction form
    107,075,439/144,469,905.75 = 144,469,905.75/x
  3. Step 3: Cross multiply
    107,075,439x = 144,469,905.75 × 144,469,905.75
  4. Step 4: Simplify right side
    107,075,439x = 20,871,553,667,413,884
  5. Step 5: Solve for x
    x = 20,871,553,667,413,884/107,075,439
  6. Step 6: Final answer
    x = 194,923,820.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.