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Finding the Third Proportional to 101,081,773.13 and 144,448,206.19

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Solution

The third proportional to 101,081,773.13 and 144,448,206.19 is: 206,419,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,081,773.13 : 144,448,206.19 = 144,448,206.19 : x
  2. Step 2: Convert to fraction form
    101,081,773.13/144,448,206.19 = 144,448,206.19/x
  3. Step 3: Cross multiply
    101,081,773.13x = 144,448,206.19 × 144,448,206.19
  4. Step 4: Simplify right side
    101,081,773.13x = 20,865,284,270,786,512
  5. Step 5: Solve for x
    x = 20,865,284,270,786,512/101,081,773.13
  6. Step 6: Final answer
    x = 206,419,848.26

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Why These Related Problems?

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