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Finding the Third Proportional to 89,538,145 and 194,840,374

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Solution

The third proportional to 89,538,145 and 194,840,374 is: 423,984,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,538,145 : 194,840,374 = 194,840,374 : x
  2. Step 2: Convert to fraction form
    89,538,145/194,840,374 = 194,840,374/x
  3. Step 3: Cross multiply
    89,538,145x = 194,840,374 × 194,840,374
  4. Step 4: Simplify right side
    89,538,145x = 37,962,771,340,459,872
  5. Step 5: Solve for x
    x = 37,962,771,340,459,872/89,538,145
  6. Step 6: Final answer
    x = 423,984,340.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.