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Finding the Third Proportional to 89,099,162 and 141,775,671

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Solution

The third proportional to 89,099,162 and 141,775,671 is: 225,595,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,099,162 : 141,775,671 = 141,775,671 : x
  2. Step 2: Convert to fraction form
    89,099,162/141,775,671 = 141,775,671/x
  3. Step 3: Cross multiply
    89,099,162x = 141,775,671 × 141,775,671
  4. Step 4: Simplify right side
    89,099,162x = 20,100,340,887,500,240
  5. Step 5: Solve for x
    x = 20,100,340,887,500,240/89,099,162
  6. Step 6: Final answer
    x = 225,595,173.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.