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Finding the Third Proportional to 204,175,552.50 and 313,832,454.75

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Solution

The third proportional to 204,175,552.50 and 313,832,454.75 is: 482,382,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,552.50 : 313,832,454.75 = 313,832,454.75 : x
  2. Step 2: Convert to fraction form
    204,175,552.50/313,832,454.75 = 313,832,454.75/x
  3. Step 3: Cross multiply
    204,175,552.50x = 313,832,454.75 × 313,832,454.75
  4. Step 4: Simplify right side
    204,175,552.50x = 98,490,809,654,410,800
  5. Step 5: Solve for x
    x = 98,490,809,654,410,800/204,175,552.50
  6. Step 6: Final answer
    x = 482,382,971.17

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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.