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Finding the Third Proportional to 41,180,850 and 89,532,900

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Solution

The third proportional to 41,180,850 and 89,532,900 is: 194,656,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180,850 : 89,532,900 = 89,532,900 : x
  2. Step 2: Convert to fraction form
    41,180,850/89,532,900 = 89,532,900/x
  3. Step 3: Cross multiply
    41,180,850x = 89,532,900 × 89,532,900
  4. Step 4: Simplify right side
    41,180,850x = 8,016,140,182,410,000
  5. Step 5: Solve for x
    x = 8,016,140,182,410,000/41,180,850
  6. Step 6: Final answer
    x = 194,656,986.98

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