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Finding the Third Proportional to 45,545,983 and 99,178,398

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Solution

The third proportional to 45,545,983 and 99,178,398 is: 215,965,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,545,983 : 99,178,398 = 99,178,398 : x
  2. Step 2: Convert to fraction form
    45,545,983/99,178,398 = 99,178,398/x
  3. Step 3: Cross multiply
    45,545,983x = 99,178,398 × 99,178,398
  4. Step 4: Simplify right side
    45,545,983x = 9,836,354,629,846,404
  5. Step 5: Solve for x
    x = 9,836,354,629,846,404/45,545,983
  6. Step 6: Final answer
    x = 215,965,360.32

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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.