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Finding the Third Proportional to 106,535,859,492 and 231,826,321,836

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Solution

The third proportional to 106,535,859,492 and 231,826,321,836 is: 504,463,414,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,535,859,492 : 231,826,321,836 = 231,826,321,836 : x
  2. Step 2: Convert to fraction form
    106,535,859,492/231,826,321,836 = 231,826,321,836/x
  3. Step 3: Cross multiply
    106,535,859,492x = 231,826,321,836 × 231,826,321,836
  4. Step 4: Simplify right side
    106,535,859,492x = 53,743,443,496,008,654,258,176
  5. Step 5: Solve for x
    x = 53,743,443,496,008,654,258,176/106,535,859,492
  6. Step 6: Final answer
    x = 504,463,414,969.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.