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Finding the Third Proportional to 204,763,636.13 and 289,734,337.13

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Solution

The third proportional to 204,763,636.13 and 289,734,337.13 is: 409,965,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,636.13 : 289,734,337.13 = 289,734,337.13 : x
  2. Step 2: Convert to fraction form
    204,763,636.13/289,734,337.13 = 289,734,337.13/x
  3. Step 3: Cross multiply
    204,763,636.13x = 289,734,337.13 × 289,734,337.13
  4. Step 4: Simplify right side
    204,763,636.13x = 83,945,986,109,263,152
  5. Step 5: Solve for x
    x = 83,945,986,109,263,152/204,763,636.13
  6. Step 6: Final answer
    x = 409,965,302.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.