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Finding the Third Proportional to 97,490,976 and 211,764,288

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Solution

The third proportional to 97,490,976 and 211,764,288 is: 459,982,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,490,976 : 211,764,288 = 211,764,288 : x
  2. Step 2: Convert to fraction form
    97,490,976/211,764,288 = 211,764,288/x
  3. Step 3: Cross multiply
    97,490,976x = 211,764,288 × 211,764,288
  4. Step 4: Simplify right side
    97,490,976x = 44,844,113,672,146,944
  5. Step 5: Solve for x
    x = 44,844,113,672,146,944/97,490,976
  6. Step 6: Final answer
    x = 459,982,200.53

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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.