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Finding the Third Proportional to 81,197,522.44 and 189,467,433

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Solution

The third proportional to 81,197,522.44 and 189,467,433 is: 442,105,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,522.44 : 189,467,433 = 189,467,433 : x
  2. Step 2: Convert to fraction form
    81,197,522.44/189,467,433 = 189,467,433/x
  3. Step 3: Cross multiply
    81,197,522.44x = 189,467,433 × 189,467,433
  4. Step 4: Simplify right side
    81,197,522.44x = 35,897,908,167,609,488
  5. Step 5: Solve for x
    x = 35,897,908,167,609,488/81,197,522.44
  6. Step 6: Final answer
    x = 442,105,954.59

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.