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Finding the Third Proportional to 204,526,390.50 and 317,340,895.50

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Solution

The third proportional to 204,526,390.50 and 317,340,895.50 is: 492,382,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,526,390.50 : 317,340,895.50 = 317,340,895.50 : x
  2. Step 2: Convert to fraction form
    204,526,390.50/317,340,895.50 = 317,340,895.50/x
  3. Step 3: Cross multiply
    204,526,390.50x = 317,340,895.50 × 317,340,895.50
  4. Step 4: Simplify right side
    204,526,390.50x = 100,705,243,956,741,920
  5. Step 5: Solve for x
    x = 100,705,243,956,741,920/204,526,390.50
  6. Step 6: Final answer
    x = 492,382,639.28

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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.