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Finding the Third Proportional to 204,769,975.50 and 447,849,202.50

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Solution

The third proportional to 204,769,975.50 and 447,849,202.50 is: 979,483,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,769,975.50 : 447,849,202.50 = 447,849,202.50 : x
  2. Step 2: Convert to fraction form
    204,769,975.50/447,849,202.50 = 447,849,202.50/x
  3. Step 3: Cross multiply
    204,769,975.50x = 447,849,202.50 × 447,849,202.50
  4. Step 4: Simplify right side
    204,769,975.50x = 200,568,908,179,886,016
  5. Step 5: Solve for x
    x = 200,568,908,179,886,016/204,769,975.50
  6. Step 6: Final answer
    x = 979,483,968.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.