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Finding the Third Proportional to 204,320,479.50 and 317,246,591

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Solution

The third proportional to 204,320,479.50 and 317,246,591 is: 492,585,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,320,479.50 : 317,246,591 = 317,246,591 : x
  2. Step 2: Convert to fraction form
    204,320,479.50/317,246,591 = 317,246,591/x
  3. Step 3: Cross multiply
    204,320,479.50x = 317,246,591 × 317,246,591
  4. Step 4: Simplify right side
    204,320,479.50x = 100,645,399,501,121,280
  5. Step 5: Solve for x
    x = 100,645,399,501,121,280/204,320,479.50
  6. Step 6: Final answer
    x = 492,585,959.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.