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Finding the Third Proportional to 137,789,387 and 204,101,144

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Solution

The third proportional to 137,789,387 and 204,101,144 is: 302,325,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789,387 : 204,101,144 = 204,101,144 : x
  2. Step 2: Convert to fraction form
    137,789,387/204,101,144 = 204,101,144/x
  3. Step 3: Cross multiply
    137,789,387x = 204,101,144 × 204,101,144
  4. Step 4: Simplify right side
    137,789,387x = 41,657,276,982,108,736
  5. Step 5: Solve for x
    x = 41,657,276,982,108,736/137,789,387
  6. Step 6: Final answer
    x = 302,325,729.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.