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Finding the Third Proportional to 89,676,372 and 193,106,400

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Solution

The third proportional to 89,676,372 and 193,106,400 is: 415,829,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676,372 : 193,106,400 = 193,106,400 : x
  2. Step 2: Convert to fraction form
    89,676,372/193,106,400 = 193,106,400/x
  3. Step 3: Cross multiply
    89,676,372x = 193,106,400 × 193,106,400
  4. Step 4: Simplify right side
    89,676,372x = 37,290,081,720,960,000
  5. Step 5: Solve for x
    x = 37,290,081,720,960,000/89,676,372
  6. Step 6: Final answer
    x = 415,829,508.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.