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Finding the Third Proportional to 68,858,383.50 and 145,488,268.13

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Solution

The third proportional to 68,858,383.50 and 145,488,268.13 is: 307,396,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858,383.50 : 145,488,268.13 = 145,488,268.13 : x
  2. Step 2: Convert to fraction form
    68,858,383.50/145,488,268.13 = 145,488,268.13/x
  3. Step 3: Cross multiply
    68,858,383.50x = 145,488,268.13 × 145,488,268.13
  4. Step 4: Simplify right side
    68,858,383.50x = 21,166,836,162,011,892
  5. Step 5: Solve for x
    x = 21,166,836,162,011,892/68,858,383.50
  6. Step 6: Final answer
    x = 307,396,646.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.