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Finding the Third Proportional to 101,082,078.56 and 144,448,628.91

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Solution

The third proportional to 101,082,078.56 and 144,448,628.91 is: 206,420,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,078.56 : 144,448,628.91 = 144,448,628.91 : x
  2. Step 2: Convert to fraction form
    101,082,078.56/144,448,628.91 = 144,448,628.91/x
  3. Step 3: Cross multiply
    101,082,078.56x = 144,448,628.91 × 144,448,628.91
  4. Step 4: Simplify right side
    101,082,078.56x = 20,865,406,392,895,524
  5. Step 5: Solve for x
    x = 20,865,406,392,895,524/101,082,078.56
  6. Step 6: Final answer
    x = 206,420,432.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.