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Finding the Third Proportional to 110,418,288 and 232,259,223

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Solution

The third proportional to 110,418,288 and 232,259,223 is: 488,545,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,418,288 : 232,259,223 = 232,259,223 : x
  2. Step 2: Convert to fraction form
    110,418,288/232,259,223 = 232,259,223/x
  3. Step 3: Cross multiply
    110,418,288x = 232,259,223 × 232,259,223
  4. Step 4: Simplify right side
    110,418,288x = 53,944,346,668,563,728
  5. Step 5: Solve for x
    x = 53,944,346,668,563,728/110,418,288
  6. Step 6: Final answer
    x = 488,545,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.