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Finding the Third Proportional to 41,198,216 and 89,475,400

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Solution

The third proportional to 41,198,216 and 89,475,400 is: 194,325,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198,216 : 89,475,400 = 89,475,400 : x
  2. Step 2: Convert to fraction form
    41,198,216/89,475,400 = 89,475,400/x
  3. Step 3: Cross multiply
    41,198,216x = 89,475,400 × 89,475,400
  4. Step 4: Simplify right side
    41,198,216x = 8,005,847,205,160,000
  5. Step 5: Solve for x
    x = 8,005,847,205,160,000/41,198,216
  6. Step 6: Final answer
    x = 194,325,094.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.