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Finding the Third Proportional to 204,174,112 and 313,830,384

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Solution

The third proportional to 204,174,112 and 313,830,384 is: 482,380,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,174,112 : 313,830,384 = 313,830,384 : x
  2. Step 2: Convert to fraction form
    204,174,112/313,830,384 = 313,830,384/x
  3. Step 3: Cross multiply
    204,174,112x = 313,830,384 × 313,830,384
  4. Step 4: Simplify right side
    204,174,112x = 98,489,509,921,587,456
  5. Step 5: Solve for x
    x = 98,489,509,921,587,456/204,174,112
  6. Step 6: Final answer
    x = 482,380,008.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.