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Finding the Third Proportional to 101,082,145.50 and 144,448,727.25

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Solution

The third proportional to 101,082,145.50 and 144,448,727.25 is: 206,420,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,145.50 : 144,448,727.25 = 144,448,727.25 : x
  2. Step 2: Convert to fraction form
    101,082,145.50/144,448,727.25 = 144,448,727.25/x
  3. Step 3: Cross multiply
    101,082,145.50x = 144,448,727.25 × 144,448,727.25
  4. Step 4: Simplify right side
    101,082,145.50x = 20,865,434,804,144,892
  5. Step 5: Solve for x
    x = 20,865,434,804,144,892/101,082,145.50
  6. Step 6: Final answer
    x = 206,420,577.06

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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.