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Finding the Third Proportional to 101,082,106 and 144,448,670

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Solution

The third proportional to 101,082,106 and 144,448,670 is: 206,420,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082,106 : 144,448,670 = 144,448,670 : x
  2. Step 2: Convert to fraction form
    101,082,106/144,448,670 = 144,448,670/x
  3. Step 3: Cross multiply
    101,082,106x = 144,448,670 × 144,448,670
  4. Step 4: Simplify right side
    101,082,106x = 20,865,418,264,768,900
  5. Step 5: Solve for x
    x = 20,865,418,264,768,900/101,082,106
  6. Step 6: Final answer
    x = 206,420,494.10

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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.