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Finding the Third Proportional to 202,171,491 and 288,908,330

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Solution

The third proportional to 202,171,491 and 288,908,330 is: 412,857,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171,491 : 288,908,330 = 288,908,330 : x
  2. Step 2: Convert to fraction form
    202,171,491/288,908,330 = 288,908,330/x
  3. Step 3: Cross multiply
    202,171,491x = 288,908,330 × 288,908,330
  4. Step 4: Simplify right side
    202,171,491x = 83,468,023,143,388,896
  5. Step 5: Solve for x
    x = 83,468,023,143,388,896/202,171,491
  6. Step 6: Final answer
    x = 412,857,533.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.