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Finding the Third Proportional to 204,763,225 and 289,733,685

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Solution

The third proportional to 204,763,225 and 289,733,685 is: 409,964,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,225 : 289,733,685 = 289,733,685 : x
  2. Step 2: Convert to fraction form
    204,763,225/289,733,685 = 289,733,685/x
  3. Step 3: Cross multiply
    204,763,225x = 289,733,685 × 289,733,685
  4. Step 4: Simplify right side
    204,763,225x = 83,945,608,223,679,232
  5. Step 5: Solve for x
    x = 83,945,608,223,679,232/204,763,225
  6. Step 6: Final answer
    x = 409,964,280.57

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Why These Related Problems?

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