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Finding the Third Proportional to 302,025,102 and 466,389,849

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Solution

The third proportional to 302,025,102 and 466,389,849 is: 720,203,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,025,102 : 466,389,849 = 466,389,849 : x
  2. Step 2: Convert to fraction form
    302,025,102/466,389,849 = 466,389,849/x
  3. Step 3: Cross multiply
    302,025,102x = 466,389,849 × 466,389,849
  4. Step 4: Simplify right side
    302,025,102x = 217,519,491,250,242,816
  5. Step 5: Solve for x
    x = 217,519,491,250,242,816/302,025,102
  6. Step 6: Final answer
    x = 720,203,353.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.