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Finding the Third Proportional to 204,469,496 and 440,116,792

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Solution

The third proportional to 204,469,496 and 440,116,792 is: 947,343,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,469,496 : 440,116,792 = 440,116,792 : x
  2. Step 2: Convert to fraction form
    204,469,496/440,116,792 = 440,116,792/x
  3. Step 3: Cross multiply
    204,469,496x = 440,116,792 × 440,116,792
  4. Step 4: Simplify right side
    204,469,496x = 193,702,790,600,371,264
  5. Step 5: Solve for x
    x = 193,702,790,600,371,264/204,469,496
  6. Step 6: Final answer
    x = 947,343,219.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.