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Finding the Third Proportional to 97,510,024 and 202,578,272

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Solution

The third proportional to 97,510,024 and 202,578,272 is: 420,858,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,510,024 : 202,578,272 = 202,578,272 : x
  2. Step 2: Convert to fraction form
    97,510,024/202,578,272 = 202,578,272/x
  3. Step 3: Cross multiply
    97,510,024x = 202,578,272 × 202,578,272
  4. Step 4: Simplify right side
    97,510,024x = 41,037,956,286,505,984
  5. Step 5: Solve for x
    x = 41,037,956,286,505,984/97,510,024
  6. Step 6: Final answer
    x = 420,858,847.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.