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Finding the Third Proportional to 204,586,712 and 438,193,456

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Solution

The third proportional to 204,586,712 and 438,193,456 is: 938,543,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,586,712 : 438,193,456 = 438,193,456 : x
  2. Step 2: Convert to fraction form
    204,586,712/438,193,456 = 438,193,456/x
  3. Step 3: Cross multiply
    204,586,712x = 438,193,456 × 438,193,456
  4. Step 4: Simplify right side
    204,586,712x = 192,013,504,881,223,936
  5. Step 5: Solve for x
    x = 192,013,504,881,223,936/204,586,712
  6. Step 6: Final answer
    x = 938,543,383.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.