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Finding the Third Proportional to 75,524,023.13 and 116,622,307.69

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Solution

The third proportional to 75,524,023.13 and 116,622,307.69 is: 180,085,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,023.13 : 116,622,307.69 = 116,622,307.69 : x
  2. Step 2: Convert to fraction form
    75,524,023.13/116,622,307.69 = 116,622,307.69/x
  3. Step 3: Cross multiply
    75,524,023.13x = 116,622,307.69 × 116,622,307.69
  4. Step 4: Simplify right side
    75,524,023.13x = 13,600,762,650,357,922
  5. Step 5: Solve for x
    x = 13,600,762,650,357,922/75,524,023.13
  6. Step 6: Final answer
    x = 180,085,250.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.