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Finding the Third Proportional to 96,898,163.63 and 212,629,115.81

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Solution

The third proportional to 96,898,163.63 and 212,629,115.81 is: 466,584,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898,163.63 : 212,629,115.81 = 212,629,115.81 : x
  2. Step 2: Convert to fraction form
    96,898,163.63/212,629,115.81 = 212,629,115.81/x
  3. Step 3: Cross multiply
    96,898,163.63x = 212,629,115.81 × 212,629,115.81
  4. Step 4: Simplify right side
    96,898,163.63x = 45,211,140,891,205,536
  5. Step 5: Solve for x
    x = 45,211,140,891,205,536/96,898,163.63
  6. Step 6: Final answer
    x = 466,584,083.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.