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Finding the Third Proportional to 54,137,733.75 and 116,904,678

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Solution

The third proportional to 54,137,733.75 and 116,904,678 is: 252,443,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,137,733.75 : 116,904,678 = 116,904,678 : x
  2. Step 2: Convert to fraction form
    54,137,733.75/116,904,678 = 116,904,678/x
  3. Step 3: Cross multiply
    54,137,733.75x = 116,904,678 × 116,904,678
  4. Step 4: Simplify right side
    54,137,733.75x = 13,666,703,738,283,684
  5. Step 5: Solve for x
    x = 13,666,703,738,283,684/54,137,733.75
  6. Step 6: Final answer
    x = 252,443,218.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.