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Finding the Third Proportional to 204,769,900.13 and 447,849,033.75

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Solution

The third proportional to 204,769,900.13 and 447,849,033.75 is: 979,483,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,769,900.13 : 447,849,033.75 = 447,849,033.75 : x
  2. Step 2: Convert to fraction form
    204,769,900.13/447,849,033.75 = 447,849,033.75/x
  3. Step 3: Cross multiply
    204,769,900.13x = 447,849,033.75 × 447,849,033.75
  4. Step 4: Simplify right side
    204,769,900.13x = 200,568,757,030,808,640
  5. Step 5: Solve for x
    x = 200,568,757,030,808,640/204,769,900.13
  6. Step 6: Final answer
    x = 979,483,590.65

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Why These Related Problems?

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