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Finding the Third Proportional to 89,691,856 and 196,134,080

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Solution

The third proportional to 89,691,856 and 196,134,080 is: 428,897,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691,856 : 196,134,080 = 196,134,080 : x
  2. Step 2: Convert to fraction form
    89,691,856/196,134,080 = 196,134,080/x
  3. Step 3: Cross multiply
    89,691,856x = 196,134,080 × 196,134,080
  4. Step 4: Simplify right side
    89,691,856x = 38,468,577,337,446,400
  5. Step 5: Solve for x
    x = 38,468,577,337,446,400/89,691,856
  6. Step 6: Final answer
    x = 428,897,104.52

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Why These Related Problems?

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