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Finding the Third Proportional to 54,316,899 and 116,399,916

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Solution

The third proportional to 54,316,899 and 116,399,916 is: 249,442,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316,899 : 116,399,916 = 116,399,916 : x
  2. Step 2: Convert to fraction form
    54,316,899/116,399,916 = 116,399,916/x
  3. Step 3: Cross multiply
    54,316,899x = 116,399,916 × 116,399,916
  4. Step 4: Simplify right side
    54,316,899x = 13,548,940,444,807,056
  5. Step 5: Solve for x
    x = 13,548,940,444,807,056/54,316,899
  6. Step 6: Final answer
    x = 249,442,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.