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Finding the Third Proportional to 131,895,469.13 and 194,006,732.34

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Solution

The third proportional to 131,895,469.13 and 194,006,732.34 is: 285,366,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,895,469.13 : 194,006,732.34 = 194,006,732.34 : x
  2. Step 2: Convert to fraction form
    131,895,469.13/194,006,732.34 = 194,006,732.34/x
  3. Step 3: Cross multiply
    131,895,469.13x = 194,006,732.34 × 194,006,732.34
  4. Step 4: Simplify right side
    131,895,469.13x = 37,638,612,194,699,456
  5. Step 5: Solve for x
    x = 37,638,612,194,699,456/131,895,469.13
  6. Step 6: Final answer
    x = 285,366,983.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.