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Finding the Third Proportional to 101,085,871 and 144,454,336

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Solution

The third proportional to 101,085,871 and 144,454,336 is: 206,428,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,871 : 144,454,336 = 144,454,336 : x
  2. Step 2: Convert to fraction form
    101,085,871/144,454,336 = 144,454,336/x
  3. Step 3: Cross multiply
    101,085,871x = 144,454,336 × 144,454,336
  4. Step 4: Simplify right side
    101,085,871x = 20,867,055,189,200,896
  5. Step 5: Solve for x
    x = 20,867,055,189,200,896/101,085,871
  6. Step 6: Final answer
    x = 206,428,999.25

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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.