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Finding the Third Proportional to 75,150,958.36 and 116,362,871.79

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Solution

The third proportional to 75,150,958.36 and 116,362,871.79 is: 180,174,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150,958.36 : 116,362,871.79 = 116,362,871.79 : x
  2. Step 2: Convert to fraction form
    75,150,958.36/116,362,871.79 = 116,362,871.79/x
  3. Step 3: Cross multiply
    75,150,958.36x = 116,362,871.79 × 116,362,871.79
  4. Step 4: Simplify right side
    75,150,958.36x = 13,540,317,930,997,214
  5. Step 5: Solve for x
    x = 13,540,317,930,997,214/75,150,958.36
  6. Step 6: Final answer
    x = 180,174,920.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.