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Finding the Third Proportional to 302,025,142 and 466,389,916

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Solution

The third proportional to 302,025,142 and 466,389,916 is: 720,203,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,025,142 : 466,389,916 = 466,389,916 : x
  2. Step 2: Convert to fraction form
    302,025,142/466,389,916 = 466,389,916/x
  3. Step 3: Cross multiply
    302,025,142x = 466,389,916 × 466,389,916
  4. Step 4: Simplify right side
    302,025,142x = 217,519,553,746,487,040
  5. Step 5: Solve for x
    x = 217,519,553,746,487,040/302,025,142
  6. Step 6: Final answer
    x = 720,203,464.87

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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.