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Finding the Third Proportional to 89,731,590 and 194,777,472

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Solution

The third proportional to 89,731,590 and 194,777,472 is: 422,797,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,590 : 194,777,472 = 194,777,472 : x
  2. Step 2: Convert to fraction form
    89,731,590/194,777,472 = 194,777,472/x
  3. Step 3: Cross multiply
    89,731,590x = 194,777,472 × 194,777,472
  4. Step 4: Simplify right side
    89,731,590x = 37,938,263,598,710,784
  5. Step 5: Solve for x
    x = 37,938,263,598,710,784/89,731,590
  6. Step 6: Final answer
    x = 422,797,184.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.